147380468400 has 270 divisors, whose sum is σ = 562175255460. Its totient is φ = 35728492800.

The previous prime is 147380468351. The next prime is 147380468407. The reversal of 147380468400 is 4864083741.

147380468400 is a `hidden beast` number, since 1 + 4 + 73 + 80 + 468 + 40 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (147380468407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 266431 + ... + 604769.

Almost surely, 2^147380468400 is an apocalyptic number.

147380468400 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 147380468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281087627730).

147380468400 is an abundant number, since it is smaller than the sum of its proper divisors (414794787060).

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

147380468400 is a wasteful number, since it uses less digits than its factorization.

147380468400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338385 (or 338360 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 147380468400 in words is "one hundred forty-seven billion, three hundred eighty million, four hundred sixty-eight thousand, four hundred".