1452645290880 has 1152 divisors, whose sum is σ = 6043410060480. Its totient is φ = 327001079808.

The previous prime is 1452645290821. The next prime is 1452645290911. The reversal of 1452645290880 is 880925462541.

1452645290880 is a `hidden beast` number, since 1 + 4 + 5 + 26 + 452 + 90 + 8 + 80 = 666.

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

It is a super-2 number, since 2×1452645290880² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2145709102 + ... + 2145709778.

Almost surely, 2^{1452645290880} is an apocalyptic number.

1452645290880 is a gapful number since it is divisible by the number (10) 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 1452645290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021705030240).

1452645290880 is an abundant number, since it is smaller than the sum of its proper divisors (4590764769600).

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

1452645290880 is an frugal number, since it uses more digits than its factorization.

1452645290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 1452645290880 in words is "one trillion, four hundred fifty-two billion, six hundred forty-five million, two hundred ninety thousand, eight hundred eighty".