83737898133768 has 60 divisors (see below), whose sum is σ = 234544302321615. Its totient is φ = 27912555063792.

The previous prime is 83737898133677. The next prime is 83737898133811. The reversal of 83737898133768 is 86733189873738.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

83737898133768 is a `hidden beast` number, since 8 + 3 + 73 + 7 + 89 + 81 + 337 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41868949066884 + 41868949066884 = 6470622^2 + 6470622^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6470622.

It is a super-2 number, since 2×83737898133768² (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 14 ways as a sum of consecutive naturals, for example, 232762653 + ... + 233122131.

Almost surely, 2^{83737898133768} is an apocalyptic number.

It is an amenable number.

83737898133768 is an abundant number, since it is smaller than the sum of its proper divisors (150806404187847).

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

83737898133768 is an frugal number, since it uses more digits than its factorization.

83737898133768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718976 (or 359484 counting only the distinct ones).

The product of its digits is 6145155072, while the sum is 81.

The spelling of 83737898133768 in words is "eighty-three trillion, seven hundred thirty-seven billion, eight hundred ninety-eight million, one hundred thirty-three thousand, seven hundred sixty-eight".