22948407689900 has 432 divisors, whose sum is σ = 68520123806400. Its totient is φ = 6499850649600.

The previous prime is 22948407689899. The next prime is 22948407689947. The reversal of 22948407689900 is 998670484922.

It is a happy number.

It is a super-2 number, since 2×22948407689900² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41482316 + ... + 42031884.

It is an arithmetic number, because the mean of its divisors is an integer number (158611397700).

Almost surely, 2^{22948407689900} is an apocalyptic number.

22948407689900 is a gapful number since it is divisible by the number (20) 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 22948407689900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34260061903200).

22948407689900 is an abundant number, since it is smaller than the sum of its proper divisors (45571716116500).

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

22948407689900 is a wasteful number, since it uses less digits than its factorization.

22948407689900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549658 (or 549640 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 68.

The spelling of 22948407689900 in words is "twenty-two trillion, nine hundred forty-eight billion, four hundred seven million, six hundred eighty-nine thousand, nine hundred".