7548149638656 has 960 divisors, whose sum is σ = 26415700286976. Its totient is φ = 2128409395200.

The previous prime is 7548149638501. The next prime is 7548149638661. The reversal of 7548149638656 is 6568369418457.

7548149638656 is a `hidden beast` number, since 7 + 5 + 4 + 8 + 1 + 496 + 3 + 86 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 1164654936 + ... + 1164661416.

Almost surely, 2^{7548149638656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7548149638656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13207850143488).

7548149638656 is an abundant number, since it is smaller than the sum of its proper divisors (18867550648320).

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

7548149638656 is a wasteful number, since it uses less digits than its factorization.

7548149638656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6585 (or 6557 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 7548149638656 in words is "seven trillion, five hundred forty-eight billion, one hundred forty-nine million, six hundred thirty-eight thousand, six hundred fifty-six".