123984995452416 has 2560 divisors, whose sum is σ = 465756703948800. Its totient is φ = 31794757632000.

The previous prime is 123984995452403. The next prime is 123984995452427. The reversal of 123984995452416 is 614254599489321.

123984995452416 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 8 + 4 + 9 + 95 + 4 + 524 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 374577025371 + ... + 374577025701.

It is an arithmetic number, because the mean of its divisors is an integer number (181936212480).

Almost surely, 2^{123984995452416} is an apocalyptic number.

123984995452416 is a gapful number since it is divisible by the number (16) 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 123984995452416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232878351974400).

123984995452416 is an abundant number, since it is smaller than the sum of its proper divisors (341771708496384).

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

123984995452416 is a wasteful number, since it uses less digits than its factorization.

123984995452416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 547 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 72.

The spelling of 123984995452416 in words is "one hundred twenty-three trillion, nine hundred eighty-four billion, nine hundred ninety-five million, four hundred fifty-two thousand, four hundred sixteen".