922914081105408 has 1280 divisors, whose sum is σ = 3332635337687040. Its totient is φ = 246498975055872.

The previous prime is 922914081105377. The next prime is 922914081105409. The reversal of 922914081105408 is 804501180419229.

922914081105408 is a `hidden beast` number, since 9 + 2 + 2 + 9 + 1 + 4 + 0 + 81 + 10 + 540 + 8 = 666.

It is a super-2 number, since 2×922914081105408² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (922914081105409) 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, 18938150610 + ... + 18938199342.

It is an arithmetic number, because the mean of its divisors is an integer number (2603621357568).

Almost surely, 2^{922914081105408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 922914081105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666317668843520).

922914081105408 is an abundant number, since it is smaller than the sum of its proper divisors (2409721256581632).

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

922914081105408 is a wasteful number, since it uses less digits than its factorization.

922914081105408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48984 (or 48962 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 922914081105408 in words is "nine hundred twenty-two trillion, nine hundred fourteen billion, eighty-one million, one hundred five thousand, four hundred eight".