201145513514000 has 160 divisors (see below), whose sum is σ = 531921802718592. Its totient is φ = 72959578560000.

The previous prime is 201145513513949. The next prime is 201145513514027. The reversal of 201145513514000 is 415315541102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2781086 + ... + 20249085.

Almost surely, 2^{201145513514000} is an apocalyptic number.

201145513514000 is a gapful number since it is divisible by the number (20) 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 201145513514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265960901359296).

201145513514000 is an abundant number, since it is smaller than the sum of its proper divisors (330776289204592).

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

201145513514000 is a wasteful number, since it uses less digits than its factorization.

201145513514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23030602 (or 23030586 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 201145513514000 in words is "two hundred one trillion, one hundred forty-five billion, five hundred thirteen million, five hundred fourteen thousand".