45879353856 has 600 divisors, whose sum is σ = 161545727376. Its totient is φ = 12924334080.

The previous prime is 45879353809. The next prime is 45879353909. The reversal of 45879353856 is 65835397854.

45879353856 is a `hidden beast` number, since 4 + 5 + 8 + 7 + 93 + 538 + 5 + 6 = 666.

It is a super-2 number, since 2×45879353856² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 45879353793 and 45879353802.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 217437591 + ... + 217437801.

Almost surely, 2^45879353856 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 45879353856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80772863688).

45879353856 is an abundant number, since it is smaller than the sum of its proper divisors (115666373520).

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

45879353856 is a wasteful number, since it uses less digits than its factorization.

45879353856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 330 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 45879353856 in words is "forty-five billion, eight hundred seventy-nine million, three hundred fifty-three thousand, eight hundred fifty-six".