1135043739648 has 1632 divisors, whose sum is σ = 4518489225600. Its totient is φ = 278245933056.

The previous prime is 1135043739637. The next prime is 1135043739659. The reversal of 1135043739648 is 8469373405311.

1135043739648 is a `hidden beast` number, since 1 + 1 + 3 + 504 + 3 + 7 + 3 + 96 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (1135043739637) and next prime (1135043739659).

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 = 1135043739594 and 1135043739603.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21415919590 + ... + 21415919642.

Almost surely, 2^{1135043739648} is an apocalyptic number.

1135043739648 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 1135043739648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259244612800).

1135043739648 is an abundant number, since it is smaller than the sum of its proper divisors (3383445485952).

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

1135043739648 is an equidigital number, since it uses as much as digits as its factorization.

1135043739648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 1135043739648 in words is "one trillion, one hundred thirty-five billion, forty-three million, seven hundred thirty-nine thousand, six hundred forty-eight".