45416092479744 has 288 divisors, whose sum is σ = 141899819385856. Its totient is φ = 12623038341120.

The previous prime is 45416092479727. The next prime is 45416092479761. The reversal of 45416092479744 is 44797429061454.

It is an interprime number because it is at equal distance from previous prime (45416092479727) and next prime (45416092479761).

It is a super-2 number, since 2×45416092479744² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1307033379 + ... + 1307068125.

Almost surely, 2^{45416092479744} 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 45416092479744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70949909692928).

45416092479744 is an abundant number, since it is smaller than the sum of its proper divisors (96483726906112).

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

45416092479744 is a wasteful number, since it uses less digits than its factorization.

45416092479744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41381 (or 41367 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 66.

The spelling of 45416092479744 in words is "forty-five trillion, four hundred sixteen billion, ninety-two million, four hundred seventy-nine thousand, seven hundred forty-four".