199153172762896 has 135 divisors (see below), whose sum is σ = 425808389528613. Its totient is φ = 90166567201920.

The previous prime is 199153172762893. The next prime is 199153172762911. The reversal of 199153172762896 is 698267271351991.

The square root of 199153172762896 is 14112164.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 146176901652496 + 52976271110400 = 12090364^2 + 7278480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199153172762893) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 216706389925 + ... + 216706390843.

Almost surely, 2^{199153172762896} is an apocalyptic number.

199153172762896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

199153172762896 is the 14112164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199153172762896

199153172762896 is an abundant number, since it is smaller than the sum of its proper divisors (226655216765717).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199153172762896 is an frugal number, since it uses more digits than its factorization.

199153172762896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 1281 counting only the distinct ones).

The product of its digits is 617258880, while the sum is 76.

The spelling of 199153172762896 in words is "one hundred ninety-nine trillion, one hundred fifty-three billion, one hundred seventy-two million, seven hundred sixty-two thousand, eight hundred ninety-six".