946128897 has 192 divisors, whose sum is σ = 1891123200. Its totient is φ = 463034880.

The previous prime is 946128893. The next prime is 946128901. The reversal of 946128897 is 798821649.

It is an interprime number because it is at equal distance from previous prime (946128893) and next prime (946128901).

It is not a de Polignac number, because 946128897 - 2² = 946128893 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (946128893) 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, 16036054 + ... + 16036112.

It is an arithmetic number, because the mean of its divisors is an integer number (9849600).

Almost surely, 2^946128897 is an apocalyptic number.

It is an amenable number.

946128897 is a deficient number, since it is larger than the sum of its proper divisors (944994303).

946128897 is a wasteful number, since it uses less digits than its factorization.

946128897 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 946128897 is about 30759.2083285640. The cubic root of 946128897 is about 981.7104991399.

The spelling of 946128897 in words is "nine hundred forty-six million, one hundred twenty-eight thousand, eight hundred ninety-seven".