258374583745632 has 960 divisors, whose sum is σ = 798162588647424. Its totient is φ = 81924173660160.

The previous prime is 258374583745613. The next prime is 258374583745661. The reversal of 258374583745632 is 236547385473852.

It is a happy number.

258374583745632 is a `hidden beast` number, since 2 + 5 + 8 + 3 + 7 + 4 + 58 + 3 + 7 + 4 + 563 + 2 = 666.

258374583745632 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 447789572928 + ... + 447789573504.

Almost surely, 2^{258374583745632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258374583745632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399081294323712).

258374583745632 is an abundant number, since it is smaller than the sum of its proper divisors (539788004901792).

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

258374583745632 is a wasteful number, since it uses less digits than its factorization.

258374583745632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1216 counting only the distinct ones).

The product of its digits is 4064256000, while the sum is 72.

The spelling of 258374583745632 in words is "two hundred fifty-eight trillion, three hundred seventy-four billion, five hundred eighty-three million, seven hundred forty-five thousand, six hundred thirty-two".