514452311252000 has 192 divisors, whose sum is σ = 1384007562782208. Its totient is φ = 186383255040000.

The previous prime is 514452311251987. The next prime is 514452311252053. The reversal of 514452311252000 is 252113254415.

It is a super-2 number, since 2×514452311252000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9648137 + ... + 33496136.

It is an arithmetic number, because the mean of its divisors is an integer number (7208372722824).

Almost surely, 2^{514452311252000} is an apocalyptic number.

514452311252000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

514452311252000 is an abundant number, since it is smaller than the sum of its proper divisors (869555251530208).

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

514452311252000 is a wasteful number, since it uses less digits than its factorization.

514452311252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43144580 (or 43144562 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 514452311252000 in words is "five hundred fourteen trillion, four hundred fifty-two billion, three hundred eleven million, two hundred fifty-two thousand".