34054246512 has 240 divisors, whose sum is σ = 113641976448. Its totient is φ = 9383109120.

The previous prime is 34054246451. The next prime is 34054246531. The reversal of 34054246512 is 21564245043.

34054246512 is a `hidden beast` number, since 3 + 40 + 542 + 4 + 65 + 12 = 666.

It is a super-2 number, since 2×34054246512² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1367323 + ... + 1392005.

Almost surely, 2^34054246512 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 34054246512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56820988224).

34054246512 is an abundant number, since it is smaller than the sum of its proper divisors (79587729936).

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

34054246512 is a wasteful number, since it uses less digits than its factorization.

34054246512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24788 (or 24779 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 34054246512 in words is "thirty-four billion, fifty-four million, two hundred forty-six thousand, five hundred twelve".