45531782856 has 512 divisors, whose sum is σ = 163233792000. Its totient is φ = 11589350400.

The previous prime is 45531782843. The next prime is 45531782887. The reversal of 45531782856 is 65828713554.

45531782856 is a `hidden beast` number, since 4 + 553 + 1 + 7 + 8 + 2 + 85 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39557881 + ... + 39559031.

It is an arithmetic number, because the mean of its divisors is an integer number (318816000).

Almost surely, 2^45531782856 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 45531782856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81616896000).

45531782856 is an abundant number, since it is smaller than the sum of its proper divisors (117702009144).

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

45531782856 is a wasteful number, since it uses less digits than its factorization.

45531782856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1199 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 45531782856 in words is "forty-five billion, five hundred thirty-one million, seven hundred eighty-two thousand, eight hundred fifty-six".