10144613601234 has 48 divisors (see below), whose sum is σ = 25494920912448. Its totient is φ = 2855200414176.

The previous prime is 10144613601229. The next prime is 10144613601247. The reversal of 10144613601234 is 43210631644101.

10144613601234 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 4 + 6 + 13 + 601 + 2 + 34 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600833397 + ... + 600850280.

It is an arithmetic number, because the mean of its divisors is an integer number (531144185676).

Almost surely, 2^{10144613601234} is an apocalyptic number.

10144613601234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10144613601234 is an abundant number, since it is smaller than the sum of its proper divisors (15350307311214).

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

10144613601234 is a wasteful number, since it uses less digits than its factorization.

10144613601234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201683759 (or 1201683756 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10144613601234 in words is "ten trillion, one hundred forty-four billion, six hundred thirteen million, six hundred one thousand, two hundred thirty-four".