1453681152000 has 2496 divisors, whose sum is σ = 6946467061248. Its totient is φ = 283115520000.

The previous prime is 1453681151999. The next prime is 1453681152067. The reversal of 1453681152000 is 2511863541.

1453681152000 is a `hidden beast` number, since 1 + 4 + 53 + 6 + 81 + 1 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×1453681152000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6031871880 + ... + 6031872120.

It is an arithmetic number, because the mean of its divisors is an integer number (2783039688).

Almost surely, 2^{1453681152000} is an apocalyptic number.

1453681152000 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 1453681152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473233530624).

1453681152000 is an abundant number, since it is smaller than the sum of its proper divisors (5492785909248).

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

1453681152000 is a wasteful number, since it uses less digits than its factorization.

1453681152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1453681152000 in words is "one trillion, four hundred fifty-three billion, six hundred eighty-one million, one hundred fifty-two thousand".