91070027661312 has 1512 divisors, whose sum is σ = 324544954166496. Its totient is φ = 25459502874624.

The previous prime is 91070027661269. The next prime is 91070027661323. The reversal of 91070027661312 is 21316672007019.

91070027661312 is a `hidden beast` number, since 9 + 1 + 0 + 7 + 0 + 0 + 27 + 6 + 613 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×91070027661312² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 248147214153 + ... + 248147214519.

It is an arithmetic number, because the mean of its divisors is an integer number (214646133708).

Almost surely, 2^{91070027661312} 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 91070027661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162272477083248).

91070027661312 is an abundant number, since it is smaller than the sum of its proper divisors (233474926505184).

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

91070027661312 is an frugal number, since it uses more digits than its factorization.

91070027661312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 91070027661312 in words is "ninety-one trillion, seventy billion, twenty-seven million, six hundred sixty-one thousand, three hundred twelve".