124749590047488 has 1440 divisors, whose sum is σ = 482401370271744. Its totient is φ = 31219824328704.

The previous prime is 124749590047487. The next prime is 124749590047507. The reversal of 124749590047488 is 884740095947421.

124749590047488 is a `hidden beast` number, since 1 + 2 + 4 + 7 + 495 + 90 + 0 + 4 + 7 + 48 + 8 = 666.

It is a super-2 number, since 2×124749590047488² (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 not an unprimeable number, because it can be changed into a prime (124749590047483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2099884281 + ... + 2099943687.

Almost surely, 2^{124749590047488} is an apocalyptic number.

124749590047488 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 124749590047488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241200685135872).

124749590047488 is an abundant number, since it is smaller than the sum of its proper divisors (357651780224256).

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

124749590047488 is a wasteful number, since it uses less digits than its factorization.

124749590047488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59519 (or 59496 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 124749590047488 in words is "one hundred twenty-four trillion, seven hundred forty-nine billion, five hundred ninety million, forty-seven thousand, four hundred eighty-eight".