45614531376 has 320 divisors, whose sum is σ = 143990784000. Its totient is φ = 13763174400.

The previous prime is 45614531363. The next prime is 45614531377. The reversal of 45614531376 is 67313541654.

45614531376 is a `hidden beast` number, since 4 + 5 + 61 + 453 + 137 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (45614531377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43483300 + ... + 43484348.

It is an arithmetic number, because the mean of its divisors is an integer number (449971200).

Almost surely, 2^45614531376 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 45614531376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71995392000).

45614531376 is an abundant number, since it is smaller than the sum of its proper divisors (98376252624).

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

45614531376 is a wasteful number, since it uses less digits than its factorization.

45614531376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1293 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 45614531376 in words is "forty-five billion, six hundred fourteen million, five hundred thirty-one thousand, three hundred seventy-six".