45661260632832 has 720 divisors, whose sum is σ = 148163896010592. Its totient is φ = 13902980382720.

The previous prime is 45661260632777. The next prime is 45661260632833. The reversal of 45661260632832 is 23823606216654.

It is a happy number.

45661260632832 is a `hidden beast` number, since 4 + 5 + 6 + 6 + 1 + 2 + 606 + 3 + 28 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45661260632833) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 14019421348 + ... + 14019424604.

Almost surely, 2^{45661260632832} 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 45661260632832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74081948005296).

45661260632832 is an abundant number, since it is smaller than the sum of its proper divisors (102502635377760).

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

45661260632832 is a wasteful number, since it uses less digits than its factorization.

45661260632832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 45661260632832 in words is "forty-five trillion, six hundred sixty-one billion, two hundred sixty million, six hundred thirty-two thousand, eight hundred thirty-two".