13723465562400 has 288 divisors, whose sum is σ = 48841823923200. Its totient is φ = 3319319577600.

The previous prime is 13723465562377. The next prime is 13723465562459. The reversal of 13723465562400 is 426556432731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13723465562400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10997541 + ... + 12181659.

It is an arithmetic number, because the mean of its divisors is an integer number (169589666400).

Almost surely, 2^{13723465562400} is an apocalyptic number.

13723465562400 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 13723465562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24420911961600).

13723465562400 is an abundant number, since it is smaller than the sum of its proper divisors (35118358360800).

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

13723465562400 is a wasteful number, since it uses less digits than its factorization.

13723465562400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184592 (or 1184579 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 13723465562400 in words is "thirteen trillion, seven hundred twenty-three billion, four hundred sixty-five million, five hundred sixty-two thousand, four hundred".