34681131136512 has 480 divisors, whose sum is σ = 117230313904704. Its totient is φ = 9663145574400.

The previous prime is 34681131136499. The next prime is 34681131136541. The reversal of 34681131136512 is 21563113118643.

34681131136512 is a `hidden beast` number, since 3 + 4 + 6 + 8 + 1 + 13 + 113 + 6 + 512 = 666.

It is a super-2 number, since 2×34681131136512² (a number of 28 digits) contains 22 as substring.

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, 4577154868 + ... + 4577162444.

Almost surely, 2^{34681131136512} is an apocalyptic number.

34681131136512 is a gapful number since it is divisible by the number (32) 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 34681131136512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58615156952352).

34681131136512 is an abundant number, since it is smaller than the sum of its proper divisors (82549182768192).

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

34681131136512 is a wasteful number, since it uses less digits than its factorization.

34681131136512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11110 (or 11091 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 34681131136512 in words is "thirty-four trillion, six hundred eighty-one billion, one hundred thirty-one million, one hundred thirty-six thousand, five hundred twelve".