45480138935616 has 560 divisors, whose sum is σ = 170109237957120. Its totient is φ = 11670689018880.

The previous prime is 45480138935587. The next prime is 45480138935629. The reversal of 45480138935616 is 61653983108454.

It is a happy number.

45480138935616 is a `hidden beast` number, since 4 + 5 + 4 + 8 + 0 + 1 + 3 + 8 + 9 + 3 + 5 + 616 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32444575 + ... + 33817313.

It is an arithmetic number, because the mean of its divisors is an integer number (303766496352).

Almost surely, 2^{45480138935616} 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 45480138935616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85054618978560).

45480138935616 is an abundant number, since it is smaller than the sum of its proper divisors (124629099021504).

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

45480138935616 is a wasteful number, since it uses less digits than its factorization.

45480138935616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372864 (or 1372845 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 45480138935616 in words is "forty-five trillion, four hundred eighty billion, one hundred thirty-eight million, nine hundred thirty-five thousand, six hundred sixteen".