45977609664 has 224 divisors, whose sum is σ = 159802982400. Its totient is φ = 12683381760.

The previous prime is 45977609653. The next prime is 45977609771. The reversal of 45977609664 is 46690677954.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×45977609664² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 285249 + ... + 416319.

Almost surely, 2^45977609664 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 45977609664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79901491200).

45977609664 is an abundant number, since it is smaller than the sum of its proper divisors (113825372736).

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

45977609664 is a wasteful number, since it uses less digits than its factorization.

45977609664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131128 (or 131112 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 45977609664 in words is "forty-five billion, nine hundred seventy-seven million, six hundred nine thousand, six hundred sixty-four".