1450028825856 has 864 divisors, whose sum is σ = 4955440896000. Its totient is φ = 416825450496.

The previous prime is 1450028825851. The next prime is 1450028825873. The reversal of 1450028825856 is 6585288200541.

1450028825856 is a `hidden beast` number, since 1 + 4 + 50 + 0 + 2 + 8 + 8 + 2 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1450028825851) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1753359715 + ... + 1753360541.

It is an arithmetic number, because the mean of its divisors is an integer number (5735464000).

Almost surely, 2^{1450028825856} is an apocalyptic number.

1450028825856 is a gapful number since it is divisible by the number (16) 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 1450028825856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477720448000).

1450028825856 is an abundant number, since it is smaller than the sum of its proper divisors (3505412070144).

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

1450028825856 is a wasteful number, since it uses less digits than its factorization.

1450028825856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 1450028825856 in words is "one trillion, four hundred fifty billion, twenty-eight million, eight hundred twenty-five thousand, eight hundred fifty-six".