258132948966984 has 512 divisors, whose sum is σ = 800467166822400. Its totient is φ = 67549476234240.

The previous prime is 258132948966979. The next prime is 258132948967013. The reversal of 258132948966984 is 489669849231852.

It is a super-2 number, since 2×258132948966984² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a junction number, because it is equal to n+sod(n) for n = 258132948966897 and 258132948966906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 173593105489 + ... + 173593106975.

It is an arithmetic number, because the mean of its divisors is an integer number (1563412435200).

Almost surely, 2^{258132948966984} is an apocalyptic number.

258132948966984 is a gapful number since it is divisible by the number (24) 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 258132948966984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400233583411200).

258132948966984 is an abundant number, since it is smaller than the sum of its proper divisors (542334217855416).

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

258132948966984 is a wasteful number, since it uses less digits than its factorization.

258132948966984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2829 counting only the distinct ones).

The product of its digits is 12899450880, while the sum is 84.

The spelling of 258132948966984 in words is "two hundred fifty-eight trillion, one hundred thirty-two billion, nine hundred forty-eight million, nine hundred sixty-six thousand, nine hundred eighty-four".