13909155501150 has 2016 divisors, whose sum is σ = 52465765413600. Its totient is φ = 2708884684800.

The previous prime is 13909155501133. The next prime is 13909155501173. The reversal of 13909155501150 is 5110555190931.

13909155501150 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 91 + 5 + 5 + 501 + 1 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13909155501096 and 13909155501105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 18087327966 + ... + 18087328734.

It is an arithmetic number, because the mean of its divisors is an integer number (26024685225).

Almost surely, 2^{13909155501150} is an apocalyptic number.

13909155501150 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 13909155501150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26232882706800).

13909155501150 is an abundant number, since it is smaller than the sum of its proper divisors (38556609912450).

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

13909155501150 is a wasteful number, since it uses less digits than its factorization.

13909155501150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 151875, while the sum is 45.

The spelling of 13909155501150 in words is "thirteen trillion, nine hundred nine billion, one hundred fifty-five million, five hundred one thousand, one hundred fifty".