14377407012864 has 1344 divisors, whose sum is σ = 53211145190400. Its totient is φ = 3753198747648.

The previous prime is 14377407012853. The next prime is 14377407013007. The reversal of 14377407012864 is 46821070477341.

It is a happy number.

14377407012864 is a `hidden beast` number, since 1 + 43 + 77 + 407 + 0 + 128 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×14377407012864² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14377407012864.

It is a congruent number.

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, 16209026629 + ... + 16209027515.

Almost surely, 2^{14377407012864} is an apocalyptic number.

14377407012864 is a gapful number since it is divisible by the number (14) 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 14377407012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26605572595200).

14377407012864 is an abundant number, since it is smaller than the sum of its proper divisors (38833738177536).

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

14377407012864 is an equidigital number, since it uses as much as digits as its factorization.

14377407012864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 14377407012864 in words is "fourteen trillion, three hundred seventy-seven billion, four hundred seven million, twelve thousand, eight hundred sixty-four".