1453766082048 has 1200 divisors, whose sum is σ = 5245325420544. Its totient is φ = 399435079680.

The previous prime is 1453766082037. The next prime is 1453766082059. The reversal of 1453766082048 is 8402806673541.

It is a happy number.

1453766082048 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 7 + 6 + 608 + 20 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1453766082037) and next prime (1453766082059).

It is a super-2 number, since 2×1453766082048² (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 junction number, because it is equal to n+sod(n) for n = 1453766081985 and 1453766082003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11097450943 + ... + 11097451073.

Almost surely, 2^{1453766082048} is an apocalyptic number.

1453766082048 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 1453766082048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622662710272).

1453766082048 is an abundant number, since it is smaller than the sum of its proper divisors (3791559338496).

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

1453766082048 is a wasteful number, since it uses less digits than its factorization.

1453766082048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1453766082048 in words is "one trillion, four hundred fifty-three billion, seven hundred sixty-six million, eighty-two thousand, forty-eight".