21348049637376 has 3328 divisors, whose sum is σ = 88701720330240. Its totient is φ = 4904976384000.

The previous prime is 21348049637333. The next prime is 21348049637399. The reversal of 21348049637376 is 67373694084312.

It is a happy number.

21348049637376 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 8 + 0 + 496 + 3 + 73 + 76 = 666.

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 255 ways as a sum of consecutive naturals, for example, 300676755421 + ... + 300676755491.

Almost surely, 2^{21348049637376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21348049637376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44350860165120).

21348049637376 is an abundant number, since it is smaller than the sum of its proper divisors (67353670692864).

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

21348049637376 is a wasteful number, since it uses less digits than its factorization.

21348049637376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 21348049637376 in words is "twenty-one trillion, three hundred forty-eight billion, forty-nine million, six hundred thirty-seven thousand, three hundred seventy-six".