22609734840000 has 2520 divisors, whose sum is σ = 103807963630800. Its totient is φ = 4650670080000.

The previous prime is 22609734839983. The next prime is 22609734840013. The reversal of 22609734840000 is 4843790622.

22609734840000 is a `hidden beast` number, since 2 + 2 + 609 + 7 + 34 + 8 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×22609734840000² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 21150359466 + ... + 21150360534.

Almost surely, 2^{22609734840000} is an apocalyptic number.

22609734840000 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 22609734840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51903981815400).

22609734840000 is an abundant number, since it is smaller than the sum of its proper divisors (81198228790800).

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

22609734840000 is a wasteful number, since it uses less digits than its factorization.

22609734840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 22609734840000 in words is "twenty-two trillion, six hundred nine billion, seven hundred thirty-four million, eight hundred forty thousand".