21674149202496 has 672 divisors, whose sum is σ = 72956146931712. Its totient is φ = 5551252439040.

The previous prime is 21674149202401. The next prime is 21674149202527. The reversal of 21674149202496 is 69420294147612.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2152984855 + ... + 2152994921.

Almost surely, 2^{21674149202496} 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 21674149202496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36478073465856).

21674149202496 is an abundant number, since it is smaller than the sum of its proper divisors (51281997729216).

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

21674149202496 is a wasteful number, since it uses less digits than its factorization.

21674149202496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10387 (or 10360 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 21674149202496 in words is "twenty-one trillion, six hundred seventy-four billion, one hundred forty-nine million, two hundred two thousand, four hundred ninety-six".