21146029938 has 480 divisors, whose sum is σ = 60066800640. Its totient is φ = 5519923200.

The previous prime is 21146029909. The next prime is 21146029981. The reversal of 21146029938 is 83992064112.

21146029938 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 602 + 9 + 9 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21146029893 and 21146029902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 237595798 + ... + 237595886.

It is an arithmetic number, because the mean of its divisors is an integer number (125139168).

Almost surely, 2^21146029938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21146029938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30033400320).

21146029938 is an abundant number, since it is smaller than the sum of its proper divisors (38920770702).

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

21146029938 is a wasteful number, since it uses less digits than its factorization.

21146029938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 21146029938 in words is "twenty-one billion, one hundred forty-six million, twenty-nine thousand, nine hundred thirty-eight".