45190458216 has 192 divisors, whose sum is σ = 131701489920. Its totient is φ = 13947924480.

The previous prime is 45190458151. The next prime is 45190458241. The reversal of 45190458216 is 61285409154.

45190458216 is a `hidden beast` number, since 4 + 5 + 190 + 458 + 2 + 1 + 6 = 666.

45190458216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 28546561 + ... + 28548143.

It is an arithmetic number, because the mean of its divisors is an integer number (685945260).

Almost surely, 2^45190458216 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 45190458216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65850744960).

45190458216 is an abundant number, since it is smaller than the sum of its proper divisors (86511031704).

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

45190458216 is a wasteful number, since it uses less digits than its factorization.

45190458216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 45190458216 in words is "forty-five billion, one hundred ninety million, four hundred fifty-eight thousand, two hundred sixteen".