201613426047264 has 768 divisors, whose sum is σ = 697940794736640. Its totient is φ = 49369554432000.

The previous prime is 201613426047263. The next prime is 201613426047337. The reversal of 201613426047264 is 462740624316102.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (201613426047263) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28872032317 + ... + 28872039299.

It is an arithmetic number, because the mean of its divisors is an integer number (908777076480).

Almost surely, 2^{201613426047264} is an apocalyptic number.

201613426047264 is a gapful number since it is divisible by the number (24) 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 201613426047264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348970397368320).

201613426047264 is an abundant number, since it is smaller than the sum of its proper divisors (496327368689376).

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

201613426047264 is a wasteful number, since it uses less digits than its factorization.

201613426047264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8005 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 201613426047264 in words is "two hundred one trillion, six hundred thirteen billion, four hundred twenty-six million, forty-seven thousand, two hundred sixty-four".