45956284416 has 720 divisors, whose sum is σ = 168316477056. Its totient is φ = 12230590464.

The previous prime is 45956284393. The next prime is 45956284421. The reversal of 45956284416 is 61448265954.

It is a happy number.

45956284416 is a `hidden beast` number, since 4 + 5 + 9 + 5 + 628 + 4 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×45956284416² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 473776080 + ... + 473776176.

Almost surely, 2^45956284416 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 45956284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84158238528).

45956284416 is an abundant number, since it is smaller than the sum of its proper divisors (122360192640).

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

45956284416 is an frugal number, since it uses more digits than its factorization.

45956284416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 126 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 45956284416 in words is "forty-five billion, nine hundred fifty-six million, two hundred eighty-four thousand, four hundred sixteen".