45028967256 has 384 divisors, whose sum is σ = 156328972800. Its totient is φ = 11824496640.

The previous prime is 45028967237. The next prime is 45028967267. The reversal of 45028967256 is 65276982054.

45028967256 is a `hidden beast` number, since 4 + 50 + 289 + 67 + 256 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58554840 + ... + 58555608.

It is an arithmetic number, because the mean of its divisors is an integer number (407106700).

Almost surely, 2^45028967256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45028967256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78164486400).

45028967256 is an abundant number, since it is smaller than the sum of its proper divisors (111300005544).

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

45028967256 is a wasteful number, since it uses less digits than its factorization.

45028967256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 45028967256 in words is "forty-five billion, twenty-eight million, nine hundred sixty-seven thousand, two hundred fifty-six".