45960265728 has 504 divisors, whose sum is σ = 152429863068. Its totient is φ = 13759414272.

The previous prime is 45960265723. The next prime is 45960265733. The reversal of 45960265728 is 82756206954.

45960265728 is a `hidden beast` number, since 4 + 5 + 9 + 60 + 2 + 6 + 572 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (45960265723) and next prime (45960265733).

It can be written as a sum of positive squares in 2 ways, for example, as 45912489984 + 47775744 = 214272^2 + 6912^2 .

It is a super-2 number, since 2×45960265728² (a number of 22 digits) contains 22 as substring.

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 (45960265723) 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 27 ways as a sum of consecutive naturals, for example, 1242169326 + ... + 1242169362.

Almost surely, 2^45960265728 is an apocalyptic number.

45960265728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45960265728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76214931534).

45960265728 is an abundant number, since it is smaller than the sum of its proper divisors (106469597340).

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

45960265728 is an frugal number, since it uses more digits than its factorization.

45960265728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 45960265728 in words is "forty-five billion, nine hundred sixty million, two hundred sixty-five thousand, seven hundred twenty-eight".