197457340416 has 192 divisors, whose sum is σ = 606381834240. Its totient is φ = 55970611200.

The previous prime is 197457340393. The next prime is 197457340433. The reversal of 197457340416 is 614043754791.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×197457340416³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5443941 + ... + 5480091.

It is an arithmetic number, because the mean of its divisors is an integer number (3158238720).

Almost surely, 2^197457340416 is an apocalyptic number.

197457340416 is a gapful number since it is divisible by the number (16) 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 197457340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303190917120).

197457340416 is an abundant number, since it is smaller than the sum of its proper divisors (408924493824).

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

197457340416 is a wasteful number, since it uses less digits than its factorization.

197457340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36310 (or 36290 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 197457340416 in words is "one hundred ninety-seven billion, four hundred fifty-seven million, three hundred forty thousand, four hundred sixteen".