14877886345920 has 672 divisors, whose sum is σ = 55641296692800. Its totient is φ = 3627119443968.

The previous prime is 14877886345913. The next prime is 14877886345939. The reversal of 14877886345920 is 2954368877841.

It is a happy number.

14877886345920 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 78 + 86 + 3 + 459 + 20 = 666.

It is a super-2 number, since 2×14877886345920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1742341011 + ... + 1742349549.

It is an arithmetic number, because the mean of its divisors is an integer number (82799548650).

It is a 1-persistent number, because it is pandigital, but 2⋅14877886345920 = 29755772691840 is not.

Almost surely, 2^{14877886345920} is an apocalyptic number.

14877886345920 is a gapful number since it is divisible by the number (10) 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 14877886345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27820648346400).

14877886345920 is an abundant number, since it is smaller than the sum of its proper divisors (40763410346880).

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

14877886345920 is a wasteful number, since it uses less digits than its factorization.

14877886345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9017 (or 9004 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 14877886345920 in words is "fourteen trillion, eight hundred seventy-seven billion, eight hundred eighty-six million, three hundred forty-five thousand, nine hundred twenty".