198420711048000 has 1344 divisors, whose sum is σ = 848676476164608. Its totient is φ = 44951600332800.

The previous prime is 198420711047971. The next prime is 198420711048017. The reversal of 198420711048000 is 840117024891.

198420711048000 is a `hidden beast` number, since 1 + 9 + 84 + 20 + 71 + 1 + 0 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1537639482 + ... + 1537768518.

It is an arithmetic number, because the mean of its divisors is an integer number (631455711432).

Almost surely, 2^{198420711048000} is an apocalyptic number.

198420711048000 is a gapful number since it is divisible by the number (10) 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 198420711048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424338238082304).

198420711048000 is an abundant number, since it is smaller than the sum of its proper divisors (650255765116608).

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

198420711048000 is a wasteful number, since it uses less digits than its factorization.

198420711048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129199 (or 129167 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 198420711048000 in words is "one hundred ninety-eight trillion, four hundred twenty billion, seven hundred eleven million, forty-eight thousand".