91111377571984 has 405 divisors, whose sum is σ = 239904392226681. Its totient is φ = 33391498398720.

The previous prime is 91111377571979. The next prime is 91111377571997. The reversal of 91111377571984 is 48917577311119.

The square root of 91111377571984 is 9545228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 70934463507600 + 20176914064384 = 8422260^2 + 4491872^2 .

It is a super-2 number, since 2×91111377571984² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 49978812897 + ... + 49978814719.

Almost surely, 2^{91111377571984} is an apocalyptic number.

91111377571984 is the 9545228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91111377571984

91111377571984 is an abundant number, since it is smaller than the sum of its proper divisors (148793014654697).

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

91111377571984 is a wasteful number, since it uses less digits than its factorization.

91111377571984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3724 (or 1860 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 64.

The spelling of 91111377571984 in words is "ninety-one trillion, one hundred eleven billion, three hundred seventy-seven million, five hundred seventy-one thousand, nine hundred eighty-four".