45496636416 has 1056 divisors, whose sum is σ = 177426754560. Its totient is φ = 11379916800.

The previous prime is 45496636403. The next prime is 45496636441. The reversal of 45496636416 is 61463669454.

45496636416 is a `hidden beast` number, since 4 + 549 + 66 + 36 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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, 640797661 + ... + 640797731.

It is an arithmetic number, because the mean of its divisors is an integer number (168017760).

Almost surely, 2^45496636416 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 45496636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88713377280).

45496636416 is an abundant number, since it is smaller than the sum of its proper divisors (131930118144).

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

45496636416 is a wasteful number, since it uses less digits than its factorization.

45496636416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 45496636416 in words is "forty-five billion, four hundred ninety-six million, six hundred thirty-six thousand, four hundred sixteen".