1283251405464 has 1280 divisors, whose sum is σ = 4833947289600. Its totient is φ = 309013512192.

The previous prime is 1283251405451. The next prime is 1283251405531. The reversal of 1283251405464 is 4645041523821.

1283251405464 is a `hidden beast` number, since 1 + 2 + 83 + 2 + 514 + 0 + 54 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3807867504 + ... + 3807867840.

It is an arithmetic number, because the mean of its divisors is an integer number (3776521320).

Almost surely, 2^{1283251405464} is an apocalyptic number.

1283251405464 is a gapful number since it is divisible by the number (14) 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 1283251405464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416973644800).

1283251405464 is an abundant number, since it is smaller than the sum of its proper divisors (3550695884136).

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

1283251405464 is a wasteful number, since it uses less digits than its factorization.

1283251405464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 1283251405464 in words is "one trillion, two hundred eighty-three billion, two hundred fifty-one million, four hundred five thousand, four hundred sixty-four".