22139077248000 has 2816 divisors, whose sum is σ = 91379023257600. Its totient is φ = 5261171097600.

The previous prime is 22139077247941. The next prime is 22139077248031. The reversal of 22139077248000 is 84277093122.

22139077248000 is a `hidden beast` number, since 2 + 2 + 13 + 90 + 7 + 72 + 480 + 0 + 0 = 666.

It is a super-2 number, since 2×22139077248000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 161599103932 + ... + 161599104068.

Almost surely, 2^{22139077248000} is an apocalyptic number.

22139077248000 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 22139077248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45689511628800).

22139077248000 is an abundant number, since it is smaller than the sum of its proper divisors (69239946009600).

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

22139077248000 is a wasteful number, since it uses less digits than its factorization.

22139077248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 22139077248000 in words is "twenty-two trillion, one hundred thirty-nine billion, seventy-seven million, two hundred forty-eight thousand".