13214077115850 has 192 divisors, whose sum is σ = 39216782465280. Its totient is φ = 3252386822400.

The previous prime is 13214077115843. The next prime is 13214077115861. The reversal of 13214077115850 is 5851177041231.

13214077115850 is a `hidden beast` number, since 1 + 3 + 21 + 40 + 7 + 7 + 1 + 1 + 585 + 0 = 666.

It is a super-2 number, since 2×13214077115850² (a number of 27 digits) contains 22 as substring.

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 = 13214077115796 and 13214077115805.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224979187 + ... + 225037913.

It is an arithmetic number, because the mean of its divisors is an integer number (204254075340).

Almost surely, 2^{13214077115850} is an apocalyptic number.

13214077115850 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 13214077115850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19608391232640).

13214077115850 is an abundant number, since it is smaller than the sum of its proper divisors (26002705349430).

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

13214077115850 is a wasteful number, since it uses less digits than its factorization.

13214077115850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71582 (or 71571 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 13214077115850 in words is "thirteen trillion, two hundred fourteen billion, seventy-seven million, one hundred fifteen thousand, eight hundred fifty".