45927828576 has 576 divisors, whose sum is σ = 164563176960. Its totient is φ = 12400819200.

The previous prime is 45927828547. The next prime is 45927828589. The reversal of 45927828576 is 67582872954.

45927828576 is a `hidden beast` number, since 4 + 59 + 2 + 7 + 8 + 2 + 8 + 576 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98346295 + ... + 98346761.

It is an arithmetic number, because the mean of its divisors is an integer number (285699960).

Almost surely, 2^45927828576 is an apocalyptic number.

45927828576 is a gapful number since it is divisible by the number (46) 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 45927828576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82281588480).

45927828576 is an abundant number, since it is smaller than the sum of its proper divisors (118635348384).

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

45927828576 is a wasteful number, since it uses less digits than its factorization.

45927828576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 603 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

It can be divided in two parts, 45927 and 828576, that added together give a triangular number (874503 = T₁₃₂₂).

The spelling of 45927828576 in words is "forty-five billion, nine hundred twenty-seven million, eight hundred twenty-eight thousand, five hundred seventy-six".