10648546693776 has 80 divisors (see below), whose sum is σ = 30566812795200. Its totient is φ = 3549336740352.

The previous prime is 10648546693721. The next prime is 10648546693777. The reversal of 10648546693776 is 67739664584601.

10648546693776 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 8 + 5 + 466 + 93 + 7 + 76 = 666.

It is a super-2 number, since 2×10648546693776² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10648546693777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8105635 + ... + 9327293.

It is an arithmetic number, because the mean of its divisors is an integer number (382085159940).

Almost surely, 2^{10648546693776} is an apocalyptic number.

10648546693776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10648546693776 is an abundant number, since it is smaller than the sum of its proper divisors (19918266101424).

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

10648546693776 is a wasteful number, since it uses less digits than its factorization.

10648546693776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241853 (or 1241841 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 10648546693776 in words is "ten trillion, six hundred forty-eight billion, five hundred forty-six million, six hundred ninety-three thousand, seven hundred seventy-six".