201254252664 has 128 divisors (see below), whose sum is σ = 524226816000. Its totient is φ = 64307443200.

The previous prime is 201254252659. The next prime is 201254252671. The reversal of 201254252664 is 466252452102.

201254252664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70342594 + ... + 70345454.

It is an arithmetic number, because the mean of its divisors is an integer number (4095522000).

Almost surely, 2^201254252664 is an apocalyptic number.

201254252664 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 201254252664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262113408000).

201254252664 is an abundant number, since it is smaller than the sum of its proper divisors (322972563336).

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

201254252664 is a wasteful number, since it uses less digits than its factorization.

201254252664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 201254252664 in words is "two hundred one billion, two hundred fifty-four million, two hundred fifty-two thousand, six hundred sixty-four".