97814615040 has 528 divisors, whose sum is σ = 363731921280. Its totient is φ = 25175162880.

The previous prime is 97814615039. The next prime is 97814615057. The reversal of 97814615040 is 4051641879.

97814615040 is a `hidden beast` number, since 9 + 7 + 81 + 4 + 61 + 504 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36079285 + ... + 36081995.

Almost surely, 2^97814615040 is an apocalyptic number.

97814615040 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 97814615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181865960640).

97814615040 is an abundant number, since it is smaller than the sum of its proper divisors (265917306240).

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

97814615040 is a wasteful number, since it uses less digits than its factorization.

97814615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 97814615040 in words is "ninety-seven billion, eight hundred fourteen million, six hundred fifteen thousand, forty".