10714504635648 has 540 divisors, whose sum is σ = 35312695902484. Its totient is φ = 3228744499200.

The previous prime is 10714504635629. The next prime is 10714504635649. The reversal of 10714504635648 is 84653640541701.

10714504635648 is a `hidden beast` number, since 1 + 0 + 7 + 14 + 5 + 0 + 4 + 63 + 564 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 405473485824 + 10309031149824 = 636768^2 + 3210768^2 .

It is a super-2 number, since 2×10714504635648² (a number of 27 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 = 10714504635594 and 10714504635603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10714504635649) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 454127340 + ... + 454150932.

Almost surely, 2^{10714504635648} is an apocalyptic number.

10714504635648 is a gapful number since it is divisible by the number (18) 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 10714504635648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17656347951242).

10714504635648 is an abundant number, since it is smaller than the sum of its proper divisors (24598191266836).

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

10714504635648 is a wasteful number, since it uses less digits than its factorization.

10714504635648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23824 (or 23790 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 10714504635648 in words is "ten trillion, seven hundred fourteen billion, five hundred four million, six hundred thirty-five thousand, six hundred forty-eight".