514896026112 has 1440 divisors, whose sum is σ = 1892458339200. Its totient is φ = 133602213888.

The previous prime is 514896026069. The next prime is 514896026137. The reversal of 514896026112 is 211620698415.

514896026112 is a `hidden beast` number, since 51 + 489 + 6 + 0 + 2 + 6 + 112 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5785348564 + ... + 5785348652.

It is an arithmetic number, because the mean of its divisors is an integer number (1314207180).

Almost surely, 2^514896026112 is an apocalyptic number.

514896026112 is a gapful number since it is divisible by the number (52) 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 514896026112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946229169600).

514896026112 is an abundant number, since it is smaller than the sum of its proper divisors (1377562313088).

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

514896026112 is a wasteful number, since it uses less digits than its factorization.

514896026112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 514896026112 in words is "five hundred fourteen billion, eight hundred ninety-six million, twenty-six thousand, one hundred twelve".