91674758160 has 240 divisors, whose sum is σ = 315545053824. Its totient is φ = 23839377408.

The previous prime is 91674758089. The next prime is 91674758209. The reversal of 91674758160 is 6185747619.

91674758160 is a `hidden beast` number, since 9 + 1 + 6 + 7 + 475 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×91674758160² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 91674758097 and 91674758106.

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, 22505884 + ... + 22509956.

Almost surely, 2^91674758160 is an apocalyptic number.

91674758160 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 91674758160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157772526912).

91674758160 is an abundant number, since it is smaller than the sum of its proper divisors (223870295664).

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

91674758160 is a wasteful number, since it uses less digits than its factorization.

91674758160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4862 (or 4853 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 91674758160 in words is "ninety-one billion, six hundred seventy-four million, seven hundred fifty-eight thousand, one hundred sixty".