45611901864 has 96 divisors (see below), whose sum is σ = 129053321280. Its totient is φ = 14525989632.

The previous prime is 45611901821. The next prime is 45611901877. The reversal of 45611901864 is 46810911654.

45611901864 is a `hidden beast` number, since 4 + 561 + 1 + 9 + 0 + 1 + 86 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1446652 + ... + 1477844.

It is an arithmetic number, because the mean of its divisors is an integer number (1344305430).

Almost surely, 2^45611901864 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 45611901864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64526660640).

45611901864 is an abundant number, since it is smaller than the sum of its proper divisors (83441419416).

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

45611901864 is a wasteful number, since it uses less digits than its factorization.

45611901864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32111 (or 32104 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 45611901864 in words is "forty-five billion, six hundred eleven million, nine hundred one thousand, eight hundred sixty-four".