45611453664 has 144 divisors (see below), whose sum is σ = 148491094752. Its totient is φ = 13009526784.

The previous prime is 45611453551. The next prime is 45611453707. The reversal of 45611453664 is 46635411654.

45611453664 is a `hidden beast` number, since 4 + 56 + 1 + 1 + 4 + 536 + 64 = 666.

45611453664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1176412 + ... + 1214564.

It is an arithmetic number, because the mean of its divisors is an integer number (1031188158).

Almost surely, 2^45611453664 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 45611453664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245547376).

45611453664 is an abundant number, since it is smaller than the sum of its proper divisors (102879641088).

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

45611453664 is a wasteful number, since it uses less digits than its factorization.

45611453664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38769 (or 38758 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 45611453664 in words is "forty-five billion, six hundred eleven million, four hundred fifty-three thousand, six hundred sixty-four".