147848198400 has 972 divisors, whose sum is σ = 628553644992. Its totient is φ = 33726689280.

The previous prime is 147848198369. The next prime is 147848198401. The reversal of 147848198400 is 4891848741.

147848198400 is a `hidden beast` number, since 1 + 4 + 7 + 8 + 48 + 198 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (147848198401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 293932549 + ... + 293933051.

Almost surely, 2^147848198400 is an apocalyptic number.

147848198400 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 147848198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314276822496).

147848198400 is an abundant number, since it is smaller than the sum of its proper divisors (480705446592).

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

147848198400 is an frugal number, since it uses more digits than its factorization.

147848198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 147848198400 in words is "one hundred forty-seven billion, eight hundred forty-eight million, one hundred ninety-eight thousand, four hundred".