536900142254112 has 4032 divisors, whose sum is σ = 2122859289196800. Its totient is φ = 132669508608000.

The previous prime is 536900142254057. The next prime is 536900142254123. The reversal of 536900142254112 is 211452241009635.

536900142254112 is a `hidden beast` number, since 5 + 3 + 6 + 9 + 0 + 0 + 1 + 4 + 225 + 411 + 2 = 666.

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 671 ways as a sum of consecutive naturals, for example, 4098474368287 + ... + 4098474368417.

It is an arithmetic number, because the mean of its divisors is an integer number (526502799900).

Almost surely, 2^{536900142254112} is an apocalyptic number.

536900142254112 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 536900142254112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061429644598400).

536900142254112 is an abundant number, since it is smaller than the sum of its proper divisors (1585959146942688).

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

536900142254112 is a wasteful number, since it uses less digits than its factorization.

536900142254112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 536900142254112 in words is "five hundred thirty-six trillion, nine hundred billion, one hundred forty-two million, two hundred fifty-four thousand, one hundred twelve".