45644949504 has 576 divisors, whose sum is σ = 170181648000. Its totient is φ = 11436687360.

The previous prime is 45644949461. The next prime is 45644949551. The reversal of 45644949504 is 40594944654.

45644949504 is a `hidden beast` number, since 4 + 5 + 6 + 44 + 94 + 9 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×45644949504² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41158102 + ... + 41159210.

It is an arithmetic number, because the mean of its divisors is an integer number (295454250).

Almost surely, 2^45644949504 is an apocalyptic number.

45644949504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45644949504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85090824000).

45644949504 is an abundant number, since it is smaller than the sum of its proper divisors (124536698496).

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

45644949504 is a wasteful number, since it uses less digits than its factorization.

45644949504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 45644949504 in words is "forty-five billion, six hundred forty-four million, nine hundred forty-nine thousand, five hundred four".