1450907385984 has 1536 divisors, whose sum is σ = 5389203456000. Its totient is φ = 387730022400.

The previous prime is 1450907385979. The next prime is 1450907385997. The reversal of 1450907385984 is 4895837090541.

1450907385984 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 9 + 0 + 7 + 38 + 598 + 4 = 666.

It is a super-3 number, since 3×1450907385984³ (a number of 37 digits) contains 333 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, 13559882059 + ... + 13559882165.

It is an arithmetic number, because the mean of its divisors is an integer number (3508596000).

Almost surely, 2^{1450907385984} is an apocalyptic number.

1450907385984 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 1450907385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694601728000).

1450907385984 is an abundant number, since it is smaller than the sum of its proper divisors (3938296070016).

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

1450907385984 is an equidigital number, since it uses as much as digits as its factorization.

1450907385984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 1450907385984 in words is "one trillion, four hundred fifty billion, nine hundred seven million, three hundred eighty-five thousand, nine hundred eighty-four".