75356838144 has 729 divisors, whose sum is σ = 273095596683. Its totient is φ = 19922982912.

The previous prime is 75356838113. The next prime is 75356838149. The reversal of 75356838144 is 44183865357.

The square root of 75356838144 is 274512.

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

75356838144 is a `hidden beast` number, since 7 + 5 + 3 + 568 + 38 + 1 + 44 = 666.

It is a super-2 number, since 2×75356838144² (a number of 23 digits) contains 22 as substring.

Its product of digits (9676800) is a multiple of the sum of its prime factors (160).

It is not an unprimeable number, because it can be changed into a prime (75356838149) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1752484587 + ... + 1752484629.

Almost surely, 2^75356838144 is an apocalyptic number.

75356838144 is the 274512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75356838144

75356838144 is an abundant number, since it is smaller than the sum of its proper divisors (197738758539).

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

75356838144 is a wasteful number, since it uses less digits than its factorization.

75356838144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 74 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 75356838144 in words is "seventy-five billion, three hundred fifty-six million, eight hundred thirty-eight thousand, one hundred forty-four".