124964603904 has 768 divisors, whose sum is σ = 428972544000. Its totient is φ = 31531991040.

The previous prime is 124964603903. The next prime is 124964603957. The reversal of 124964603904 is 409306469421.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×124964603904³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (124964603903) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1146464202 + ... + 1146464310.

It is an arithmetic number, because the mean of its divisors is an integer number (558558000).

Almost surely, 2^124964603904 is an apocalyptic number.

124964603904 is a gapful number since it is divisible by the number (14) 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 124964603904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272000).

124964603904 is an abundant number, since it is smaller than the sum of its proper divisors (304007940096).

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

124964603904 is a wasteful number, since it uses less digits than its factorization.

124964603904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 124964603904 in words is "one hundred twenty-four billion, nine hundred sixty-four million, six hundred three thousand, nine hundred four".