22255540352451 has 128 divisors (see below), whose sum is σ = 40102905200640. Its totient is φ = 11924247354624.

The previous prime is 22255540352447. The next prime is 22255540352477. The reversal of 22255540352451 is 15425304555222.

22255540352451 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 5 + 540 + 3 + 52 + 4 + 51 = 666.

It is not a de Polignac number, because 22255540352451 - 2² = 22255540352447 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22255540352397 and 22255540352406.

It is not an unprimeable number, because it can be changed into a prime (22255540352411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51509820 + ... + 51940086.

It is an arithmetic number, because the mean of its divisors is an integer number (313303946880).

Almost surely, 2^{22255540352451} is an apocalyptic number.

22255540352451 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22255540352451 is a deficient number, since it is larger than the sum of its proper divisors (17847364848189).

22255540352451 is a wasteful number, since it uses less digits than its factorization.

22255540352451 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430542 (or 430536 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 45.

The spelling of 22255540352451 in words is "twenty-two trillion, two hundred fifty-five billion, five hundred forty million, three hundred fifty-two thousand, four hundred fifty-one".