34013458586016 has 384 divisors, whose sum is σ = 122637542952960. Its totient is φ = 8931059813376.

The previous prime is 34013458585919. The next prime is 34013458586053. The reversal of 34013458586016 is 61068585431043.

It is a happy number.

34013458586016 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 3 + 4 + 58 + 586 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16894765 + ... + 18800531.

It is an arithmetic number, because the mean of its divisors is an integer number (319368601440).

Almost surely, 2^{34013458586016} is an apocalyptic number.

34013458586016 is a gapful number since it is divisible by the number (36) 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 34013458586016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61318771476480).

34013458586016 is an abundant number, since it is smaller than the sum of its proper divisors (88624084366944).

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

34013458586016 is a wasteful number, since it uses less digits than its factorization.

34013458586016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906033 (or 1906019 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 34013458586016 in words is "thirty-four trillion, thirteen billion, four hundred fifty-eight million, five hundred eighty-six thousand, sixteen".