147922993612800 has 1728 divisors, whose sum is σ = 627552952790400. Its totient is φ = 32580934041600.

The previous prime is 147922993612777. The next prime is 147922993612913. The reversal of 147922993612800 is 8216399229741.

147922993612800 is a `hidden beast` number, since 1 + 4 + 7 + 9 + 2 + 2 + 9 + 9 + 3 + 612 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59960677167 + ... + 59960679633.

It is an arithmetic number, because the mean of its divisors is an integer number (363167218050).

Almost surely, 2^{147922993612800} is an apocalyptic number.

147922993612800 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 147922993612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313776476395200).

147922993612800 is an abundant number, since it is smaller than the sum of its proper divisors (479629959177600).

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

147922993612800 is a wasteful number, since it uses less digits than its factorization.

147922993612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 147922993612800 in words is "one hundred forty-seven trillion, nine hundred twenty-two billion, nine hundred ninety-three million, six hundred twelve thousand, eight hundred".