45842016312 has 256 divisors, whose sum is σ = 136397260800. Its totient is φ = 14233190400.

The previous prime is 45842016287. The next prime is 45842016323. The reversal of 45842016312 is 21361024854.

It is a happy number.

45842016312 is a `hidden beast` number, since 4 + 584 + 2 + 0 + 1 + 63 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39758328 + ... + 39759480.

It is an arithmetic number, because the mean of its divisors is an integer number (532801800).

Almost surely, 2^45842016312 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 45842016312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68198630400).

45842016312 is an abundant number, since it is smaller than the sum of its proper divisors (90555244488).

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

45842016312 is a wasteful number, since it uses less digits than its factorization.

45842016312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 45842016312 in words is "forty-five billion, eight hundred forty-two million, sixteen thousand, three hundred twelve".