35914542048 has 240 divisors, whose sum is σ = 131687385984. Its totient is φ = 9328400640.

The previous prime is 35914542029. The next prime is 35914542061. The reversal of 35914542048 is 84024541953.

35914542048 is a `hidden beast` number, since 3 + 59 + 14 + 542 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 35914541994 and 35914542012.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 109611 + ... + 289557.

Almost surely, 2^35914542048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35914542048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65843692992).

35914542048 is an abundant number, since it is smaller than the sum of its proper divisors (95772843936).

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

35914542048 is a wasteful number, since it uses less digits than its factorization.

35914542048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179987 (or 179970 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 35914542048 in words is "thirty-five billion, nine hundred fourteen million, five hundred forty-two thousand, forty-eight".