45156484314 has 256 divisors, whose sum is σ = 110252482560. Its totient is φ = 13671141120.

The previous prime is 45156484301. The next prime is 45156484333. The reversal of 45156484314 is 41348465154.

45156484314 is a `hidden beast` number, since 4 + 5 + 1 + 564 + 84 + 3 + 1 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45156484314.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 214011669 + ... + 214011879.

It is an arithmetic number, because the mean of its divisors is an integer number (430673760).

Almost surely, 2^45156484314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45156484314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55126241280).

45156484314 is an abundant number, since it is smaller than the sum of its proper divisors (65095998246).

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

45156484314 is a wasteful number, since it uses less digits than its factorization.

45156484314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 45156484314 in words is "forty-five billion, one hundred fifty-six million, four hundred eighty-four thousand, three hundred fourteen".