1453773442680 has 768 divisors, whose sum is σ = 5588803584000. Its totient is φ = 338922994176.

The previous prime is 1453773442679. The next prime is 1453773442697. The reversal of 1453773442680 is 862443773541.

1453773442680 is a `hidden beast` number, since 1 + 4 + 5 + 37 + 7 + 344 + 268 + 0 = 666.

It is a super-3 number, since 3×1453773442680³ (a number of 37 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 405740169 + ... + 405743751.

It is an arithmetic number, because the mean of its divisors is an integer number (7277088000).

Almost surely, 2^{1453773442680} is an apocalyptic number.

1453773442680 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 1453773442680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794401792000).

1453773442680 is an abundant number, since it is smaller than the sum of its proper divisors (4135030141320).

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

1453773442680 is a wasteful number, since it uses less digits than its factorization.

1453773442680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 1453773442680 in words is "one trillion, four hundred fifty-three billion, seven hundred seventy-three million, four hundred forty-two thousand, six hundred eighty".