455910916608 has 320 divisors, whose sum is σ = 1578199941120. Its totient is φ = 127229792256.

The previous prime is 455910916607. The next prime is 455910916613. The reversal of 455910916608 is 806619019554.

455910916608 is a `hidden beast` number, since 4 + 5 + 5 + 9 + 10 + 9 + 16 + 608 = 666.

It is a super-4 number, since 4×455910916608⁴ (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (455910916607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4106241 + ... + 4215807.

It is an arithmetic number, because the mean of its divisors is an integer number (4931874816).

Almost surely, 2^455910916608 is an apocalyptic number.

455910916608 is a gapful number since it is divisible by the number (48) 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 455910916608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789099970560).

455910916608 is an abundant number, since it is smaller than the sum of its proper divisors (1122289024512).

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

455910916608 is a wasteful number, since it uses less digits than its factorization.

455910916608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109644 (or 109622 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 455910916608 in words is "four hundred fifty-five billion, nine hundred ten million, nine hundred sixteen thousand, six hundred eight".