13897631946240 has 2400 divisors, whose sum is σ = 61431403540320. Its totient is φ = 2985792897024.

The previous prime is 13897631946239. The next prime is 13897631946281. The reversal of 13897631946240 is 4264913679831.

13897631946240 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 76 + 319 + 4 + 6 + 240 = 666.

It is a super-2 number, since 2×13897631946240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 37259066694 + ... + 37259067066.

Almost surely, 2^{13897631946240} is an apocalyptic number.

13897631946240 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 13897631946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30715701770160).

13897631946240 is an abundant number, since it is smaller than the sum of its proper divisors (47533771594080).

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

13897631946240 is a wasteful number, since it uses less digits than its factorization.

13897631946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 13897631946240 in words is "thirteen trillion, eight hundred ninety-seven billion, six hundred thirty-one million, nine hundred forty-six thousand, two hundred forty".