45176682528 has 96 divisors (see below), whose sum is σ = 132638325120. Its totient is φ = 14959123200.

The previous prime is 45176682491. The next prime is 45176682557. The reversal of 45176682528 is 82528667154.

45176682528 is a `hidden beast` number, since 4 + 51 + 7 + 6 + 68 + 2 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42675 + ... + 303602.

It is an arithmetic number, because the mean of its divisors is an integer number (1381649220).

Almost surely, 2^45176682528 is an apocalyptic number.

45176682528 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 45176682528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66319162560).

45176682528 is an abundant number, since it is smaller than the sum of its proper divisors (87461642592).

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

45176682528 is a wasteful number, since it uses less digits than its factorization.

45176682528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346447 (or 346433 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 45176682528 in words is "forty-five billion, one hundred seventy-six million, six hundred eighty-two thousand, five hundred twenty-eight".