201416553984 has 80 divisors (see below), whose sum is σ = 539367322032. Its totient is φ = 66790883328.

The previous prime is 201416553889. The next prime is 201416554037. The reversal of 201416553984 is 489355614102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43269 + ... + 636164.

Almost surely, 2^201416553984 is an apocalyptic number.

201416553984 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 201416553984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269683661016).

201416553984 is an abundant number, since it is smaller than the sum of its proper divisors (337950768048).

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

201416553984 is an equidigital number, since it uses as much as digits as its factorization.

201416553984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679647 (or 679631 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 201416553984 in words is "two hundred one billion, four hundred sixteen million, five hundred fifty-three thousand, nine hundred eighty-four".