1453380185088 has 1584 divisors, whose sum is σ = 5301473224320. Its totient is φ = 395009851392.

The previous prime is 1453380185083. The next prime is 1453380185129. The reversal of 1453380185088 is 8805810833541.

1453380185088 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 380 + 185 + 0 + 88 = 666.

It is a super-4 number, since 4×1453380185088⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453380185083) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13582992331 + ... + 13582992437.

Almost surely, 2^{1453380185088} is an apocalyptic number.

1453380185088 is a gapful number since it is divisible by the number (18) 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 1453380185088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650736612160).

1453380185088 is an abundant number, since it is smaller than the sum of its proper divisors (3848093039232).

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

1453380185088 is a wasteful number, since it uses less digits than its factorization.

1453380185088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 1453380185088 in words is "one trillion, four hundred fifty-three billion, three hundred eighty million, one hundred eighty-five thousand, eighty-eight".