45729265139712 has 2160 divisors, whose sum is σ = 177254601646080. Its totient is φ = 11404070092800.

The previous prime is 45729265139693. The next prime is 45729265139729. The reversal of 45729265139712 is 21793156292754.

45729265139712 is a `hidden beast` number, since 4 + 5 + 7 + 2 + 9 + 26 + 513 + 97 + 1 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45729265139712.

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 143 ways as a sum of consecutive naturals, for example, 360072953793 + ... + 360072953919.

Almost surely, 2^{45729265139712} is an apocalyptic number.

45729265139712 is a gapful number since it is divisible by the number (42) 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 45729265139712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88627300823040).

45729265139712 is an abundant number, since it is smaller than the sum of its proper divisors (131525336506368).

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

45729265139712 is a wasteful number, since it uses less digits than its factorization.

45729265139712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 181 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 45729265139712 in words is "forty-five trillion, seven hundred twenty-nine billion, two hundred sixty-five million, one hundred thirty-nine thousand, seven hundred twelve".