97809431638464 has 1344 divisors, whose sum is σ = 360525500375040. Its totient is φ = 24658096619520.

The previous prime is 97809431638459. The next prime is 97809431638469. The reversal of 97809431638464 is 46483613490879.

It is a happy number.

97809431638464 is a `hidden beast` number, since 9 + 7 + 80 + 9 + 43 + 16 + 38 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (97809431638459) and next prime (97809431638469).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 97809431638392 and 97809431638401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97809431638469) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79455264729 + ... + 79455265959.

It is an arithmetic number, because the mean of its divisors is an integer number (268248140160).

Almost surely, 2^{97809431638464} 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 97809431638464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180262750187520).

97809431638464 is an abundant number, since it is smaller than the sum of its proper divisors (262716068736576).

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

97809431638464 is a wasteful number, since it uses less digits than its factorization.

97809431638464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 97809431638464 in words is "ninety-seven trillion, eight hundred nine billion, four hundred thirty-one million, six hundred thirty-eight thousand, four hundred sixty-four".