91648177668000 has 576 divisors, whose sum is σ = 336221534638080. Its totient is φ = 23618041344000.

The previous prime is 91648177667999. The next prime is 91648177668043. The reversal of 91648177668000 is 86677184619.

91648177668000 is a `hidden beast` number, since 9 + 1 + 6 + 481 + 7 + 76 + 6 + 80 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 802346892 + ... + 802461108.

It is an arithmetic number, because the mean of its divisors is an integer number (583717942080).

Almost surely, 2^{91648177668000} is an apocalyptic number.

91648177668000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91648177668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168110767319040).

91648177668000 is an abundant number, since it is smaller than the sum of its proper divisors (244573356970080).

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

91648177668000 is a wasteful number, since it uses less digits than its factorization.

91648177668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114998 (or 114977 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 91648177668000 in words is "ninety-one trillion, six hundred forty-eight billion, one hundred seventy-seven million, six hundred sixty-eight thousand".