201261853489488 has 80 divisors (see below), whose sum is σ = 567468774215616. Its totient is φ = 60958733137920.

The previous prime is 201261853489483. The next prime is 201261853489579. The reversal of 201261853489488 is 884984358162102.

201261853489488 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×201261853489488⁵ (a number of 73 digits) contains 55555 as substring.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201261853489483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91750345 + ... + 93918312.

Almost surely, 2^{201261853489488} is an apocalyptic number.

It is an amenable number.

201261853489488 is an abundant number, since it is smaller than the sum of its proper divisors (366206920726128).

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

201261853489488 is a wasteful number, since it uses less digits than its factorization.

201261853489488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185670732 (or 185670726 counting only the distinct ones).

The product of its (nonzero) digits is 212336640, while the sum is 69.

The spelling of 201261853489488 in words is "two hundred one trillion, two hundred sixty-one billion, eight hundred fifty-three million, four hundred eighty-nine thousand, four hundred eighty-eight".