71900123147424 has 576 divisors, whose sum is σ = 261216078439680. Its totient is φ = 18417270620160.

The previous prime is 71900123147357. The next prime is 71900123147507. The reversal of 71900123147424 is 42474132100917.

71900123147424 is a `hidden beast` number, since 7 + 1 + 90 + 0 + 123 + 14 + 7 + 424 = 666.

It is a super-2 number, since 2×71900123147424² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71900123147424.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24516957 + ... + 27292515.

It is an arithmetic number, because the mean of its divisors is an integer number (453500136180).

Almost surely, 2^{71900123147424} is an apocalyptic number.

71900123147424 is a gapful number since it is divisible by the number (74) 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 71900123147424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130608039219840).

71900123147424 is an abundant number, since it is smaller than the sum of its proper divisors (189315955292256).

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

71900123147424 is a wasteful number, since it uses less digits than its factorization.

71900123147424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775653 (or 2775642 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 71900123147424 in words is "seventy-one trillion, nine hundred billion, one hundred twenty-three million, one hundred forty-seven thousand, four hundred twenty-four".