198901894464 has 1680 divisors, whose sum is σ = 800519892480. Its totient is φ = 48283361280.

The previous prime is 198901894453. The next prime is 198901894489. The reversal of 198901894464 is 464498109891.

198901894464 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 0 + 189 + 446 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2968684959 + ... + 2968685025.

It is an arithmetic number, because the mean of its divisors is an integer number (476499936).

Almost surely, 2^198901894464 is an apocalyptic number.

198901894464 is a gapful number since it is divisible by the number (14) 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 198901894464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400259946240).

198901894464 is an abundant number, since it is smaller than the sum of its proper divisors (601617998016).

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

198901894464 is a wasteful number, since it uses less digits than its factorization.

198901894464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 198901894464 in words is "one hundred ninety-eight billion, nine hundred one million, eight hundred ninety-four thousand, four hundred sixty-four".