1449252237888 has 1344 divisors, whose sum is σ = 5423738191872. Its totient is φ = 359930511360.

The previous prime is 1449252237841. The next prime is 1449252237893. The reversal of 1449252237888 is 8887322529441.

1449252237888 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 252 + 2 + 378 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1449252237888² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11411434881 + ... + 11411435007.

It is an arithmetic number, because the mean of its divisors is an integer number (4035519488).

Almost surely, 2^{1449252237888} is an apocalyptic number.

1449252237888 is a gapful number since it is divisible by the number (18) 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 1449252237888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711869095936).

1449252237888 is an abundant number, since it is smaller than the sum of its proper divisors (3974485953984).

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

1449252237888 is a wasteful number, since it uses less digits than its factorization.

1449252237888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 1449252237888 in words is "one trillion, four hundred forty-nine billion, two hundred fifty-two million, two hundred thirty-seven thousand, eight hundred eighty-eight".