124191398464 has 315 divisors, whose sum is σ = 307669349481. Its totient is φ = 49731816960.

The previous prime is 124191398423. The next prime is 124191398479. The reversal of 124191398464 is 464893191421.

It is a happy number.

The square root of 124191398464 is 352408.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 65122956864 + 59068441600 = 255192^2 + 243040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4006174129 + ... + 4006174159.

Almost surely, 2^124191398464 is an apocalyptic number.

124191398464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

124191398464 is the 352408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124191398464

124191398464 is an abundant number, since it is smaller than the sum of its proper divisors (183477951017).

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

124191398464 is an frugal number, since it uses more digits than its factorization.

124191398464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 69 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 52.

The spelling of 124191398464 in words is "one hundred twenty-four billion, one hundred ninety-one million, three hundred ninety-eight thousand, four hundred sixty-four".