84097331136000 has 4320 divisors, whose sum is σ = 396282878959968. Its totient is φ = 17716440268800.

The previous prime is 84097331135963. The next prime is 84097331136017. The reversal of 84097331136000 is 63113379048.

84097331136000 is a `hidden beast` number, since 8 + 4 + 0 + 9 + 7 + 3 + 31 + 1 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×84097331136000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 128786111674 + ... + 128786112326.

Almost surely, 2^{84097331136000} is an apocalyptic number.

84097331136000 is a gapful number since it is divisible by the number (80) 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 84097331136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198141439479984).

84097331136000 is an abundant number, since it is smaller than the sum of its proper divisors (312185547823968).

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

84097331136000 is an equidigital number, since it uses as much as digits as its factorization.

84097331136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 84097331136000 in words is "eighty-four trillion, ninety-seven billion, three hundred thirty-one million, one hundred thirty-six thousand".