201146100625456 has 120 divisors (see below), whose sum is σ = 480642023400000. Its totient is φ = 81080798746752.

The previous prime is 201146100625403. The next prime is 201146100625471. The reversal of 201146100625456 is 654526001641102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46502706 + ... + 50643793.

It is an arithmetic number, because the mean of its divisors is an integer number (4005350195000).

Almost surely, 2^{201146100625456} is an apocalyptic number.

It is an amenable number.

201146100625456 is an abundant number, since it is smaller than the sum of its proper divisors (279495922774544).

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

201146100625456 is a wasteful number, since it uses less digits than its factorization.

201146100625456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97146679 (or 97146666 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 201146100625456 in words is "two hundred one trillion, one hundred forty-six billion, one hundred million, six hundred twenty-five thousand, four hundred fifty-six".