123577145392896 has 432 divisors, whose sum is σ = 395841336952320. Its totient is φ = 38011352371200.

The previous prime is 123577145392891. The next prime is 123577145392919. The reversal of 123577145392896 is 698293541775321.

123577145392896 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 7 + 7 + 1 + 4 + 539 + 2 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123577145392891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3979796571 + ... + 3979827621.

Almost surely, 2^{123577145392896} is an apocalyptic number.

123577145392896 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 123577145392896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197920668476160).

123577145392896 is an abundant number, since it is smaller than the sum of its proper divisors (272264191559424).

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

123577145392896 is a wasteful number, since it uses less digits than its factorization.

123577145392896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34509 (or 34476 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 72.

The spelling of 123577145392896 in words is "one hundred twenty-three trillion, five hundred seventy-seven billion, one hundred forty-five million, three hundred ninety-two thousand, eight hundred ninety-six".