1450863513792 has 2688 divisors, whose sum is σ = 6237185310720. Its totient is φ = 325173657600.

The previous prime is 1450863513769. The next prime is 1450863513829. The reversal of 1450863513792 is 2973153680541.

It is a happy number.

1450863513792 is a `hidden beast` number, since 1 + 4 + 50 + 8 + 6 + 3 + 513 + 79 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 46802048817 + ... + 46802048847.

It is an arithmetic number, because the mean of its divisors is an integer number (2320381440).

It is a 1-persistent number, because it is pandigital, but 2⋅1450863513792 = 2901727027584 is not.

Almost surely, 2^{1450863513792} is an apocalyptic number.

1450863513792 is a gapful number since it is divisible by the number (12) 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 1450863513792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118592655360).

1450863513792 is an abundant number, since it is smaller than the sum of its proper divisors (4786321796928).

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

1450863513792 is a wasteful number, since it uses less digits than its factorization.

1450863513792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1450863513792 in words is "one trillion, four hundred fifty billion, eight hundred sixty-three million, five hundred thirteen thousand, seven hundred ninety-two".