45815692608 has 448 divisors, whose sum is σ = 161582039040. Its totient is φ = 12454041600.

The previous prime is 45815692583. The next prime is 45815692613. The reversal of 45815692608 is 80629651854.

45815692608 is a `hidden beast` number, since 4 + 58 + 1 + 569 + 26 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 22872535 + ... + 22874537.

Almost surely, 2^45815692608 is an apocalyptic number.

45815692608 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 45815692608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80791019520).

45815692608 is an abundant number, since it is smaller than the sum of its proper divisors (115766346432).

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

45815692608 is a wasteful number, since it uses less digits than its factorization.

45815692608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 45815692608 in words is "forty-five billion, eight hundred fifteen million, six hundred ninety-two thousand, six hundred eight".