147009561098400 has 6912 divisors, whose sum is σ = 753093558927360. Its totient is φ = 26900729856000.

The previous prime is 147009561098363. The next prime is 147009561098417. The reversal of 147009561098400 is 4890165900741.

147009561098400 is a `hidden beast` number, since 1 + 4 + 7 + 0 + 0 + 95 + 61 + 0 + 98 + 400 = 666.

It is a super-2 number, since 2×147009561098400² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 936366631122 + ... + 936366631278.

Almost surely, 2^{147009561098400} is an apocalyptic number.

147009561098400 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 147009561098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376546779463680).

147009561098400 is an abundant number, since it is smaller than the sum of its proper divisors (606083997828960).

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

147009561098400 is a wasteful number, since it uses less digits than its factorization.

147009561098400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 147009561098400 in words is "one hundred forty-seven trillion, nine billion, five hundred sixty-one million, ninety-eight thousand, four hundred".