456151616004 has 48 divisors (see below), whose sum is σ = 1242285262848. Its totient is φ = 127556073888.

The previous prime is 456151615993. The next prime is 456151616009. The reversal of 456151616004 is 400616151654.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (456151616009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57766014 + ... + 57773909.

It is an arithmetic number, because the mean of its divisors is an integer number (25880942976).

Almost surely, 2^456151616004 is an apocalyptic number.

It is an amenable number.

456151616004 is an abundant number, since it is smaller than the sum of its proper divisors (786133646844).

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

456151616004 is a wasteful number, since it uses less digits than its factorization.

456151616004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115539984 (or 115539982 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

Adding to 456151616004 its reverse (400616151654), we get a palindrome (856767767658).

The spelling of 456151616004 in words is "four hundred fifty-six billion, one hundred fifty-one million, six hundred sixteen thousand, four".