21146070249408 has 336 divisors, whose sum is σ = 63718245513216. Its totient is φ = 6177777315840.

The previous prime is 21146070249389. The next prime is 21146070249487. The reversal of 21146070249408 is 80494207064112.

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

It is a congruent number.

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, 53113741 + ... + 53510387.

It is an arithmetic number, because the mean of its divisors is an integer number (189637635456).

Almost surely, 2^{21146070249408} 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 21146070249408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31859122756608).

21146070249408 is an abundant number, since it is smaller than the sum of its proper divisors (42572175263808).

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

21146070249408 is a wasteful number, since it uses less digits than its factorization.

21146070249408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396772 (or 396749 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 21146070249408 in words is "twenty-one trillion, one hundred forty-six billion, seventy million, two hundred forty-nine thousand, four hundred eight".