13501534914630 has 960 divisors, whose sum is σ = 46159667769600. Its totient is φ = 2812231457280.

The previous prime is 13501534914613. The next prime is 13501534914643. The reversal of 13501534914630 is 3641943510531.

13501534914630 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 1 + 5 + 3 + 4 + 9 + 1 + 4 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6713840325 + ... + 6713842335.

It is an arithmetic number, because the mean of its divisors is an integer number (48082987260).

Almost surely, 2^{13501534914630} is an apocalyptic number.

13501534914630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13501534914630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23079833884800).

13501534914630 is an abundant number, since it is smaller than the sum of its proper divisors (32658132854970).

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

13501534914630 is a wasteful number, since it uses less digits than its factorization.

13501534914630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 13501534914630 in words is "thirteen trillion, five hundred one billion, five hundred thirty-four million, nine hundred fourteen thousand, six hundred thirty".