91486125714240 has 672 divisors, whose sum is σ = 335798463970944. Its totient is φ = 22781261905920.

The previous prime is 91486125714211. The next prime is 91486125714259. The reversal of 91486125714240 is 4241752168419.

91486125714240 is a `hidden beast` number, since 9 + 1 + 4 + 8 + 61 + 2 + 571 + 4 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×91486125714240² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23415950367 + ... + 23415954273.

Almost surely, 2^{91486125714240} is an apocalyptic number.

91486125714240 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 91486125714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167899231985472).

91486125714240 is an abundant number, since it is smaller than the sum of its proper divisors (244312338256704).

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

91486125714240 is a wasteful number, since it uses less digits than its factorization.

91486125714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7575 (or 7562 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 91486125714240 in words is "ninety-one trillion, four hundred eighty-six billion, one hundred twenty-five million, seven hundred fourteen thousand, two hundred forty".