123437478528 has 640 divisors, whose sum is σ = 463293008640. Its totient is φ = 31750963200.

The previous prime is 123437478517. The next prime is 123437478547. The reversal of 123437478528 is 825874734321.

It is a happy number.

123437478528 is a `hidden beast` number, since 1 + 2 + 3 + 43 + 7 + 4 + 78 + 528 = 666.

It is a super-2 number, since 2×123437478528² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38681413 + ... + 38684603.

It is an arithmetic number, because the mean of its divisors is an integer number (723895326).

Almost surely, 2^123437478528 is an apocalyptic number.

123437478528 is a gapful number since it is divisible by the number (18) 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 123437478528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231646504320).

123437478528 is an abundant number, since it is smaller than the sum of its proper divisors (339855530112).

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

123437478528 is a wasteful number, since it uses less digits than its factorization.

123437478528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3257 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 123437478528 in words is "one hundred twenty-three billion, four hundred thirty-seven million, four hundred seventy-eight thousand, five hundred twenty-eight".