97149843648000 has 3840 divisors, whose sum is σ = 423401048598528. Its totient is φ = 21100953600000.

The previous prime is 97149843647957. The next prime is 97149843648023. The reversal of 97149843648000 is 84634894179.

97149843648000 is a `hidden beast` number, since 9 + 7 + 1 + 49 + 84 + 36 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 643376447925 + ... + 643376448075.

Almost surely, 2^{97149843648000} is an apocalyptic number.

97149843648000 is a gapful number since it is divisible by the number (90) 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 97149843648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211700524299264).

97149843648000 is an abundant number, since it is smaller than the sum of its proper divisors (326251204950528).

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

97149843648000 is a wasteful number, since it uses less digits than its factorization.

97149843648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 97149843648000 in words is "ninety-seven trillion, one hundred forty-nine billion, eight hundred forty-three million, six hundred forty-eight thousand".