456016013772 has 24 divisors (see below), whose sum is σ = 1160768035392. Its totient is φ = 138186670800.

The previous prime is 456016013731. The next prime is 456016013779. The reversal of 456016013772 is 277310610654.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (456016013779) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1727333254 + ... + 1727333517.

It is an arithmetic number, because the mean of its divisors is an integer number (48365334808).

Almost surely, 2^456016013772 is an apocalyptic number.

It is an amenable number.

456016013772 is an abundant number, since it is smaller than the sum of its proper divisors (704752021620).

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

456016013772 is a wasteful number, since it uses less digits than its factorization.

456016013772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454666789 (or 3454666787 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 456016013772 in words is "four hundred fifty-six billion, sixteen million, thirteen thousand, seven hundred seventy-two".