201887741952 has 384 divisors, whose sum is σ = 648370195200. Its totient is φ = 61702373376.

The previous prime is 201887741941. The next prime is 201887741963. The reversal of 201887741952 is 259147788102.

It is an interprime number because it is at equal distance from previous prime (201887741941) and next prime (201887741963).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 117171363 + ... + 117173085.

It is an arithmetic number, because the mean of its divisors is an integer number (1688464050).

Almost surely, 2^201887741952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201887741952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324185097600).

201887741952 is an abundant number, since it is smaller than the sum of its proper divisors (446482453248).

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

201887741952 is a wasteful number, since it uses less digits than its factorization.

201887741952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 201887741952 in words is "two hundred one billion, eight hundred eighty-seven million, seven hundred forty-one thousand, nine hundred fifty-two".