1450964772864 has 1152 divisors, whose sum is σ = 4868115033600. Its totient is φ = 429769359360.

The previous prime is 1450964772857. The next prime is 1450964772883. The reversal of 1450964772864 is 4682774690541.

1450964772864 is a `hidden beast` number, since 1 + 4 + 50 + 96 + 477 + 28 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1450964772864² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16302974932 + ... + 16302975020.

It is an arithmetic number, because the mean of its divisors is an integer number (4225794300).

Almost surely, 2^{1450964772864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1450964772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434057516800).

1450964772864 is an abundant number, since it is smaller than the sum of its proper divisors (3417150260736).

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

1450964772864 is an equidigital number, since it uses as much as digits as its factorization.

1450964772864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 1450964772864 in words is "one trillion, four hundred fifty billion, nine hundred sixty-four million, seven hundred seventy-two thousand, eight hundred sixty-four".