257714001984 has 112 divisors (see below), whose sum is σ = 712225428480. Its totient is φ = 82087610880.

The previous prime is 257714001977. The next prime is 257714002001. The reversal of 257714001984 is 489100417752.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4471269 + ... + 4528539.

Almost surely, 2^257714001984 is an apocalyptic number.

257714001984 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 257714001984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356112714240).

257714001984 is an abundant number, since it is smaller than the sum of its proper divisors (454511426496).

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

257714001984 is a wasteful number, since it uses less digits than its factorization.

257714001984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58328 (or 58318 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 257714001984 in words is "two hundred fifty-seven billion, seven hundred fourteen million, one thousand, nine hundred eighty-four".