129735471461904 has 1125 divisors, whose sum is σ = 482312479926431. Its totient is φ = 33640118709120.

The previous prime is 129735471461807. The next prime is 129735471461923. The reversal of 129735471461904 is 409164174537921.

The square root of 129735471461904 is 11390148.

It is a perfect power (a square), and thus also a powerful number.

129735471461904 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 3 + 5 + 4 + 7 + 1 + 4 + 619 + 0 + 4 = 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 224 ways as a sum of consecutive naturals, for example, 221014431499 + ... + 221014432085.

Almost surely, 2^{129735471461904} is an apocalyptic number.

129735471461904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

129735471461904 is the 11390148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129735471461904

129735471461904 is an abundant number, since it is smaller than the sum of its proper divisors (352577008464527).

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

129735471461904 is an frugal number, since it uses more digits than its factorization.

129735471461904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 129735471461904 in words is "one hundred twenty-nine trillion, seven hundred thirty-five billion, four hundred seventy-one million, four hundred sixty-one thousand, nine hundred four".