4612268729250 has 3072 divisors, whose sum is σ = 18521424230400. Its totient is φ = 846526464000.

The previous prime is 4612268729249. The next prime is 4612268729279. The reversal of 4612268729250 is 529278622164.

4612268729250 is a `hidden beast` number, since 4 + 6 + 1 + 226 + 87 + 292 + 50 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 112494359230 + ... + 112494359270.

It is an arithmetic number, because the mean of its divisors is an integer number (6029109450).

Almost surely, 2^{4612268729250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4612268729250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9260712115200).

4612268729250 is an abundant number, since it is smaller than the sum of its proper divisors (13909155501150).

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

4612268729250 is a wasteful number, since it uses less digits than its factorization.

4612268729250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4612268729250 in words is "four trillion, six hundred twelve billion, two hundred sixty-eight million, seven hundred twenty-nine thousand, two hundred fifty".