20135741406336 has 48 divisors (see below), whose sum is σ = 57942693373110. Its totient is φ = 6711913801728.

The previous prime is 20135741406301. The next prime is 20135741406359. The reversal of 20135741406336 is 63360414753102.

20135741406336 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 5 + 7 + 4 + 1 + 4 + 0 + 633 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19568732406336 + 567009000000 = 4423656^2 + 753000^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 20135741406291 and 20135741406300.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8739469945 + ... + 8739472248.

Almost surely, 2^{20135741406336} is an apocalyptic number.

It is an amenable number.

20135741406336 is an abundant number, since it is smaller than the sum of its proper divisors (37806951966774).

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

20135741406336 is a wasteful number, since it uses less digits than its factorization.

20135741406336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17478942213 (or 17478942198 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 20135741406336 in words is "twenty trillion, one hundred thirty-five billion, seven hundred forty-one million, four hundred six thousand, three hundred thirty-six".