147344891904 has 336 divisors, whose sum is σ = 507632890752. Its totient is φ = 40264925184.

The previous prime is 147344891849. The next prime is 147344891917. The reversal of 147344891904 is 409198443741.

147344891904 = 30172² + 30173² + ... + 30332².

147344891904 is a `hidden beast` number, since 1 + 4 + 7 + 3 + 448 + 9 + 190 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11864002 + ... + 11876414.

Almost surely, 2^147344891904 is an apocalyptic number.

147344891904 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 147344891904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253816445376).

147344891904 is an abundant number, since it is smaller than the sum of its proper divisors (360287998848).

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

147344891904 is a wasteful number, since it uses less digits than its factorization.

147344891904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12475 (or 12448 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 147344891904 in words is "one hundred forty-seven billion, three hundred forty-four million, eight hundred ninety-one thousand, nine hundred four".