201922713984 has 128 divisors (see below), whose sum is σ = 546837544800. Its totient is φ = 65994080256.

The previous prime is 201922713961. The next prime is 201922714027. The reversal of 201922713984 is 489317229102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48618852 + ... + 48623004.

Almost surely, 2^201922713984 is an apocalyptic number.

201922713984 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 201922713984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273418772400).

201922713984 is an abundant number, since it is smaller than the sum of its proper divisors (344914830816).

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

201922713984 is a wasteful number, since it uses less digits than its factorization.

201922713984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6612 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 201922713984 in words is "two hundred one billion, nine hundred twenty-two million, seven hundred thirteen thousand, nine hundred eighty-four".