83849088242664 has 192 divisors, whose sum is σ = 241417704528000. Its totient is φ = 26199864668160.

The previous prime is 83849088242657. The next prime is 83849088242677. The reversal of 83849088242664 is 46624288094838.

83849088242664 is a `hidden beast` number, since 8 + 38 + 4 + 90 + 8 + 82 + 426 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 83849088242592 and 83849088242601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356248732 + ... + 356484020.

It is an arithmetic number, because the mean of its divisors is an integer number (1257383877750).

Almost surely, 2^{83849088242664} 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 83849088242664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120708852264000).

83849088242664 is an abundant number, since it is smaller than the sum of its proper divisors (157568616285336).

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

83849088242664 is a wasteful number, since it uses less digits than its factorization.

83849088242664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236488 (or 236481 counting only the distinct ones).

The product of its (nonzero) digits is 1019215872, while the sum is 72.

The spelling of 83849088242664 in words is "eighty-three trillion, eight hundred forty-nine billion, eighty-eight million, two hundred forty-two thousand, six hundred sixty-four".