123492967416 has 896 divisors, whose sum is σ = 463320076800. Its totient is φ = 29930757120.

The previous prime is 123492967393. The next prime is 123492967439. The reversal of 123492967416 is 614769294321.

123492967416 is a `hidden beast` number, since 1 + 2 + 349 + 296 + 7 + 4 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (123492967393) and next prime (123492967439).

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

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 373090371 + ... + 373090701.

It is an arithmetic number, because the mean of its divisors is an integer number (517098300).

Almost surely, 2^123492967416 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 123492967416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231660038400).

123492967416 is an abundant number, since it is smaller than the sum of its proper divisors (339827109384).

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

123492967416 is a wasteful number, since it uses less digits than its factorization.

123492967416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 412 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 123492967416 in words is "one hundred twenty-three billion, four hundred ninety-two million, nine hundred sixty-seven thousand, four hundred sixteen".