456139694080 has 896 divisors, whose sum is σ = 1415239557120. Its totient is φ = 137594142720.

The previous prime is 456139694063. The next prime is 456139694107. The reversal of 456139694080 is 80496931654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6248488924 + ... + 6248488996.

Almost surely, 2^456139694080 is an apocalyptic number.

456139694080 is a gapful number since it is divisible by the number (40) 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 456139694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707619778560).

456139694080 is an abundant number, since it is smaller than the sum of its proper divisors (959099863040).

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

456139694080 is a wasteful number, since it uses less digits than its factorization.

456139694080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 456139694080 in words is "four hundred fifty-six billion, one hundred thirty-nine million, six hundred ninety-four thousand, eighty".