1445695776 has 480 divisors, whose sum is σ = 5312926080. Its totient is φ = 376233984.

The previous prime is 1445695763. The next prime is 1445695781. The reversal of 1445695776 is 6775965441.

1445695776 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 69 + 577 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 79 ways as a sum of consecutive naturals, for example, 13263210 + ... + 13263318.

It is an arithmetic number, because the mean of its divisors is an integer number (11068596).

Almost surely, 2^1445695776 is an apocalyptic number.

1445695776 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 1445695776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656463040).

1445695776 is an abundant number, since it is smaller than the sum of its proper divisors (3867230304).

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

1445695776 is a wasteful number, since it uses less digits than its factorization.

1445695776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 1445695776 is about 38022.3062951210. The cubic root of 1445695776 is about 1130.7301454981.

The spelling of 1445695776 in words is "one billion, four hundred forty-five million, six hundred ninety-five thousand, seven hundred seventy-six".