1945221578496 has 864 divisors, whose sum is σ = 6863255945728. Its totient is φ = 538014597120.

The previous prime is 1945221578483. The next prime is 1945221578533. The reversal of 1945221578496 is 6948751225491.

1945221578496 is a `hidden beast` number, since 1 + 9 + 4 + 52 + 2 + 1 + 578 + 4 + 9 + 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 (63).

It is a congruent number.

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, 1779708126 + ... + 1779709218.

Almost surely, 2^{1945221578496} is an apocalyptic number.

1945221578496 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 1945221578496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431627972864).

1945221578496 is an abundant number, since it is smaller than the sum of its proper divisors (4918034367232).

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

1945221578496 is an equidigital number, since it uses as much as digits as its factorization.

1945221578496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1233 counting only the distinct ones).

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

The spelling of 1945221578496 in words is "one trillion, nine hundred forty-five billion, two hundred twenty-one million, five hundred seventy-eight thousand, four hundred ninety-six".