97346634000 has 960 divisors, whose sum is σ = 411546230784. Its totient is φ = 19555200000.

The previous prime is 97346633971. The next prime is 97346634019. The reversal of 97346634000 is 43664379.

It is a super-2 number, since 2×97346634000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100253515 + ... + 100254485.

Almost surely, 2^97346634000 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 97346634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205773115392).

97346634000 is an abundant number, since it is smaller than the sum of its proper divisors (314199596784).

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

97346634000 is a wasteful number, since it uses less digits than its factorization.

97346634000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 97346634000 in words is "ninety-seven billion, three hundred forty-six million, six hundred thirty-four thousand".