6451881546 has 64 divisors (see below), whose sum is σ = 14667609600. Its totient is φ = 1874040000.

The previous prime is 6451881533. The next prime is 6451881563.

6451881546 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6451881495 and 6451881504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253921 + ... + 278171.

It is an arithmetic number, because the mean of its divisors is an integer number (229181400).

Almost surely, 2^6451881546 is an apocalyptic number.

6451881546 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6451881546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7333804800).

6451881546 is an abundant number, since it is smaller than the sum of its proper divisors (8215728054).

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

6451881546 is a wasteful number, since it uses less digits than its factorization.

6451881546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24435.

The product of its digits is 921600, while the sum is 48.

The square root of 6451881546 is about 80323.6051606251. The cubic root of 6451881546 is about 1861.6389710233.

The spelling of 6451881546 in words is "six billion, four hundred fifty-one million, eight hundred eighty-one thousand, five hundred forty-six".