34630161142500 has 1080 divisors, whose sum is σ = 146979892803744. Its totient is φ = 6772550400000.

The previous prime is 34630161142457. The next prime is 34630161142519. The reversal of 34630161142500 is 524116103643.

34630161142500 is a `hidden beast` number, since 3 + 4 + 6 + 3 + 0 + 1 + 6 + 1 + 142 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 206083515 + ... + 206251485.

Almost surely, 2^{34630161142500} is an apocalyptic number.

34630161142500 is a gapful number since it is divisible by the number (30) 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 34630161142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73489946401872).

34630161142500 is an abundant number, since it is smaller than the sum of its proper divisors (112349731661244).

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

34630161142500 is a wasteful number, since it uses less digits than its factorization.

34630161142500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168043 (or 168016 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 34630161142500 in words is "thirty-four trillion, six hundred thirty billion, one hundred sixty-one million, one hundred forty-two thousand, five hundred".