83758298625936 has 525 divisors, whose sum is σ = 268066334827291. Its totient is φ = 25248416212800.

The previous prime is 83758298625919. The next prime is 83758298626007. The reversal of 83758298625936 is 63952689285738.

The square root of 83758298625936 is 9151956.

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

83758298625936 is a `hidden beast` number, since 8 + 3 + 7 + 582 + 9 + 8 + 6 + 25 + 9 + 3 + 6 = 666.

It is a super-2 number, since 2×83758298625936² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 438525123601 + ... + 438525123791.

Almost surely, 2^{83758298625936} is an apocalyptic number.

83758298625936 is the 9151956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83758298625936

83758298625936 is an abundant number, since it is smaller than the sum of its proper divisors (184308036201355).

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

83758298625936 is an frugal number, since it uses more digits than its factorization.

83758298625936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 207 counting only the distinct ones).

The product of its digits is 9405849600, while the sum is 81.

83758298625936 divided by its sum of digits (81) gives a square (1034053069456 = 1016884²).

The spelling of 83758298625936 in words is "eighty-three trillion, seven hundred fifty-eight billion, two hundred ninety-eight million, six hundred twenty-five thousand, nine hundred thirty-six".