201461898193920 has 6336 divisors, whose sum is σ = 1012050272862720. Its totient is φ = 37852148662272.

The previous prime is 201461898193799. The next prime is 201461898193921. The reversal of 201461898193920 is 29391898164102.

201461898193920 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 618 + 9 + 8 + 1 + 9 + 3 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (201461898193921) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 255987163767 + ... + 255987164553.

Almost surely, 2^{201461898193920} is an apocalyptic number.

201461898193920 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 201461898193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506025136431360).

201461898193920 is an abundant number, since it is smaller than the sum of its proper divisors (810588374668800).

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

201461898193920 is a wasteful number, since it uses less digits than its factorization.

201461898193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 201461898193920 in words is "two hundred one trillion, four hundred sixty-one billion, eight hundred ninety-eight million, one hundred ninety-three thousand, nine hundred twenty".