10735514149914 has 64 divisors (see below), whose sum is σ = 24159611520000. Its totient is φ = 3533342258160.

The previous prime is 10735514149897. The next prime is 10735514149939. The reversal of 10735514149914 is 41994141553701.

10735514149914 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 5 + 5 + 141 + 499 + 1 + 4 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 2405344 + ... + 5220795.

It is an arithmetic number, because the mean of its divisors is an integer number (377493930000).

Almost surely, 2^{10735514149914} is an apocalyptic number.

10735514149914 is an abundant number, since it is smaller than the sum of its proper divisors (13424097370086).

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

10735514149914 is a wasteful number, since it uses less digits than its factorization.

10735514149914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626480 (or 7626474 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 10735514149914 in words is "ten trillion, seven hundred thirty-five billion, five hundred fourteen million, one hundred forty-nine thousand, nine hundred fourteen".