201947146314720 has 192 divisors, whose sum is σ = 645644488688640. Its totient is φ = 53047451179008.

The previous prime is 201947146314691. The next prime is 201947146314763. The reversal of 201947146314720 is 27413641749102.

It is a congruent number.

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, 2222500009 + ... + 2222590871.

It is an arithmetic number, because the mean of its divisors is an integer number (3362731711920).

Almost surely, 2^{201947146314720} is an apocalyptic number.

201947146314720 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 201947146314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322822244344320).

201947146314720 is an abundant number, since it is smaller than the sum of its proper divisors (443697342373920).

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

201947146314720 is a wasteful number, since it uses less digits than its factorization.

201947146314720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160057 (or 160049 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 201947146314720 in words is "two hundred one trillion, nine hundred forty-seven billion, one hundred forty-six million, three hundred fourteen thousand, seven hundred twenty".