45634340976 has 160 divisors (see below), whose sum is σ = 136416268800. Its totient is φ = 12875977728.

The previous prime is 45634340957. The next prime is 45634340977. The reversal of 45634340976 is 67904343654.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45634340977) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12545430 + ... + 12549066.

It is an arithmetic number, because the mean of its divisors is an integer number (852601680).

Almost surely, 2^45634340976 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 45634340976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68208134400).

45634340976 is an abundant number, since it is smaller than the sum of its proper divisors (90781927824).

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

45634340976 is a wasteful number, since it uses less digits than its factorization.

45634340976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 51.

The spelling of 45634340976 in words is "forty-five billion, six hundred thirty-four million, three hundred forty thousand, nine hundred seventy-six".