71749228806144 has 1200 divisors, whose sum is σ = 226579775445408. Its totient is φ = 22602131177472.

The previous prime is 71749228806131. The next prime is 71749228806161. The reversal of 71749228806144 is 44160882294717.

71749228806144 is a `hidden beast` number, since 7 + 1 + 7 + 4 + 9 + 2 + 2 + 8 + 8 + 0 + 614 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 371757662112 + ... + 371757662304.

Almost surely, 2^{71749228806144} is an apocalyptic number.

71749228806144 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71749228806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113289887722704).

71749228806144 is an abundant number, since it is smaller than the sum of its proper divisors (154830546639264).

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

71749228806144 is a wasteful number, since it uses less digits than its factorization.

71749228806144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 71749228806144 in words is "seventy-one trillion, seven hundred forty-nine billion, two hundred twenty-eight million, eight hundred six thousand, one hundred forty-four".