1452308901120 has 4032 divisors, whose sum is σ = 7296365744640. Its totient is φ = 267544166400.

The previous prime is 1452308901107. The next prime is 1452308901179. The reversal of 1452308901120 is 211098032541.

1452308901120 is a `hidden beast` number, since 1 + 4 + 523 + 0 + 8 + 9 + 0 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×1452308901120² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 35422168300 + ... + 35422168340.

It is an arithmetic number, because the mean of its divisors is an integer number (1809614520).

Almost surely, 2^{1452308901120} is an apocalyptic number.

1452308901120 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 1452308901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648182872320).

1452308901120 is an abundant number, since it is smaller than the sum of its proper divisors (5844056843520).

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

1452308901120 is a wasteful number, since it uses less digits than its factorization.

1452308901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1452308901120 in words is "one trillion, four hundred fifty-two billion, three hundred eight million, nine hundred one thousand, one hundred twenty".