83883690237888 has 560 divisors, whose sum is σ = 265372344357120. Its totient is φ = 26123609604096.

The previous prime is 83883690237863. The next prime is 83883690237913. The reversal of 83883690237888 is 88873209638838.

83883690237888 is a `hidden beast` number, since 8 + 3 + 8 + 83 + 6 + 90 + 2 + 378 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (83883690237863) and next prime (83883690237913).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4717063045 + ... + 4717080827.

It is an arithmetic number, because the mean of its divisors is an integer number (473879186352).

Almost surely, 2^{83883690237888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83883690237888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132686172178560).

83883690237888 is an abundant number, since it is smaller than the sum of its proper divisors (181488654119232).

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

83883690237888 is a wasteful number, since it uses less digits than its factorization.

83883690237888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18486 (or 18467 counting only the distinct ones).

The product of its (nonzero) digits is 5350883328, while the sum is 81.

The spelling of 83883690237888 in words is "eighty-three trillion, eight hundred eighty-three billion, six hundred ninety million, two hundred thirty-seven thousand, eight hundred eighty-eight".