91248040083456 has 399 divisors, whose sum is σ = 274014977202543. Its totient is φ = 30371995975680.

The previous prime is 91248040083439. The next prime is 91248040083653. The reversal of 91248040083456 is 65438004084219.

The square root of 91248040083456 is 9552384.

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

91248040083456 is a `hidden beast` number, since 9 + 1 + 2 + 480 + 40 + 0 + 83 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 132052156071 + ... + 132052156761.

Almost surely, 2^{91248040083456} is an apocalyptic number.

91248040083456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

91248040083456 is the 9552384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91248040083456

91248040083456 is an abundant number, since it is smaller than the sum of its proper divisors (182766937119087).

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

91248040083456 is an frugal number, since it uses more digits than its factorization.

91248040083456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 91248040083456 in words is "ninety-one trillion, two hundred forty-eight billion, forty million, eighty-three thousand, four hundred fifty-six".