22478137416 has 512 divisors, whose sum is σ = 77709312000. Its totient is φ = 5878656000.

The previous prime is 22478137393. The next prime is 22478137447. The reversal of 22478137416 is 61473187422.

22478137416 is a `hidden beast` number, since 2 + 2 + 478 + 137 + 41 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176993145 + ... + 176993271.

It is an arithmetic number, because the mean of its divisors is an integer number (151776000).

Almost surely, 2^22478137416 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 22478137416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38854656000).

22478137416 is an abundant number, since it is smaller than the sum of its proper divisors (55231174584).

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

22478137416 is a wasteful number, since it uses less digits than its factorization.

22478137416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 22478137416 in words is "twenty-two billion, four hundred seventy-eight million, one hundred thirty-seven thousand, four hundred sixteen".