97254145408 has 128 divisors (see below), whose sum is σ = 233744832000. Its totient is φ = 39374180352.

The previous prime is 97254145397. The next prime is 97254145421. The reversal of 97254145408 is 80454145279.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6103660 + ... + 6119572.

It is an arithmetic number, because the mean of its divisors is an integer number (1826131500).

Almost surely, 2^97254145408 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 97254145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116872416000).

97254145408 is an abundant number, since it is smaller than the sum of its proper divisors (136490686592).

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

97254145408 is a wasteful number, since it uses less digits than its factorization.

97254145408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16312 (or 16300 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 97254145408 in words is "ninety-seven billion, two hundred fifty-four million, one hundred forty-five thousand, four hundred eight".