45315099648 has 1056 divisors, whose sum is σ = 175634565120. Its totient is φ = 11426365440.

The previous prime is 45315099637. The next prime is 45315099659. The reversal of 45315099648 is 84699051354.

45315099648 is a `hidden beast` number, since 4 + 5 + 3 + 1 + 509 + 96 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (45315099637) and next prime (45315099659).

It is a super-2 number, since 2×45315099648² (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 a junction number, because it is equal to n+sod(n) for n = 45315099594 and 45315099603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 545965015 + ... + 545965097.

Almost surely, 2^45315099648 is an apocalyptic number.

45315099648 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 45315099648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87817282560).

45315099648 is an abundant number, since it is smaller than the sum of its proper divisors (130319465472).

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

45315099648 is a wasteful number, since it uses less digits than its factorization.

45315099648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 45315099648 in words is "forty-five billion, three hundred fifteen million, ninety-nine thousand, six hundred forty-eight".