22948794440100 has 81 divisors (see below), whose sum is σ = 71932171708033. Its totient is φ = 6119640193440.

The previous prime is 22948794440081. The next prime is 22948794440119. The reversal of 22948794440100 is 104449784922.

The square root of 22948794440100 is 4790490.

It is a perfect power (a square), and thus also a powerful number.

22948794440100 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 8 + 7 + 94 + 440 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (22948794440081) and next prime (22948794440119).

It can be written as a sum of positive squares in only one way, i.e., 8261565998436 + 14687228441664 = 2874294^2 + 3832392^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 143634859 + ... + 143794541.

Almost surely, 2^{22948794440100} is an apocalyptic number.

22948794440100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22948794440100 is the 4790490-th square number.

It is an amenable number.

22948794440100 is an abundant number, since it is smaller than the sum of its proper divisors (48983377267933).

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

22948794440100 is an frugal number, since it uses more digits than its factorization.

22948794440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319386 (or 159693 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 22948794440100 in words is "twenty-two trillion, nine hundred forty-eight billion, seven hundred ninety-four million, four hundred forty thousand, one hundred".