91452258040000 has 1680 divisors, whose sum is σ = 279574261198848. Its totient is φ = 29248128000000.

The previous prime is 91452258039991. The next prime is 91452258040009. The reversal of 91452258040000 is 4085225419.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (91452258039991) and next prime (91452258040009).

It is a super-2 number, since 2×91452258040000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (91452258040009) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 698108839935 + ... + 698108840065.

Almost surely, 2^{91452258040000} 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 91452258040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139787130599424).

91452258040000 is an abundant number, since it is smaller than the sum of its proper divisors (188122003158848).

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

91452258040000 is a wasteful number, since it uses less digits than its factorization.

91452258040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 91452258040000 in words is "ninety-one trillion, four hundred fifty-two billion, two hundred fifty-eight million, forty thousand".