123654748983840 has 1536 divisors, whose sum is σ = 479489310720000. Its totient is φ = 29623681511424.

The previous prime is 123654748983797. The next prime is 123654748983853. The reversal of 123654748983840 is 48389847456321.

123654748983840 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 5 + 474 + 89 + 8 + 38 + 40 = 666.

It is a super-2 number, since 2×123654748983840² (a number of 29 digits) contains 22 as substring.

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

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, 166426310509 + ... + 166426311251.

It is an arithmetic number, because the mean of its divisors is an integer number (312167520000).

It is a 1-persistent number, because it is pandigital, but 2⋅123654748983840 = 247309497967680 is not.

Almost surely, 2^{123654748983840} is an apocalyptic number.

123654748983840 is a gapful number since it is divisible by the number (10) 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 123654748983840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239744655360000).

123654748983840 is an abundant number, since it is smaller than the sum of its proper divisors (355834561736160).

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

123654748983840 is a wasteful number, since it uses less digits than its factorization.

123654748983840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 123654748983840 in words is "one hundred twenty-three trillion, six hundred fifty-four billion, seven hundred forty-eight million, nine hundred eighty-three thousand, eight hundred forty".