21397614822144 has 2160 divisors, whose sum is σ = 78664322558976. Its totient is φ = 5725922918400.

The previous prime is 21397614822131. The next prime is 21397614822149. The reversal of 21397614822144 is 44122841679312.

It is a happy number.

21397614822144 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 7 + 614 + 8 + 2 + 2 + 14 + 4 = 666.

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

Its product of digits (4644864) is a multiple of the sum of its prime divisors (384).

It is not an unprimeable number, because it can be changed into a prime (21397614822149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 75609946227 + ... + 75609946509.

Almost surely, 2^{21397614822144} is an apocalyptic number.

21397614822144 is a gapful number since it is divisible by the number (24) 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 21397614822144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39332161279488).

21397614822144 is an abundant number, since it is smaller than the sum of its proper divisors (57266707736832).

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

21397614822144 is a wasteful number, since it uses less digits than its factorization.

21397614822144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 384 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 21397614822144 in words is "twenty-one trillion, three hundred ninety-seven billion, six hundred fourteen million, eight hundred twenty-two thousand, one hundred forty-four".