456902987355 has 96 divisors (see below), whose sum is σ = 864943961280. Its totient is φ = 228794388480.

The previous prime is 456902987351. The next prime is 456902987363. The reversal of 456902987355 is 553789209654.

456902987355 is a `hidden beast` number, since 456 + 90 + 2 + 98 + 7 + 3 + 5 + 5 = 666.

It is not a de Polignac number, because 456902987355 - 2² = 456902987351 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 456902987292 and 456902987301.

It is not an unprimeable number, because it can be changed into a prime (456902987351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16411407 + ... + 16439223.

It is an arithmetic number, because the mean of its divisors is an integer number (9009832930).

Almost surely, 2^456902987355 is an apocalyptic number.

456902987355 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

456902987355 is a deficient number, since it is larger than the sum of its proper divisors (408040973925).

456902987355 is a wasteful number, since it uses less digits than its factorization.

456902987355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28286 (or 28263 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 456902987355 in words is "four hundred fifty-six billion, nine hundred two million, nine hundred eighty-seven thousand, three hundred fifty-five".