1145754879360 has 1536 divisors, whose sum is σ = 4766119989120. Its totient is φ = 231871610880.

The previous prime is 1145754879349. The next prime is 1145754879371. The reversal of 1145754879360 is 639784575411.

It is an interprime number because it is at equal distance from previous prime (1145754879349) and next prime (1145754879371).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1145754879294 and 1145754879303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3660558564 + ... + 3660558876.

Almost surely, 2^{1145754879360} is an apocalyptic number.

1145754879360 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 1145754879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383059994560).

1145754879360 is an abundant number, since it is smaller than the sum of its proper divisors (3620365109760).

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

1145754879360 is a wasteful number, since it uses less digits than its factorization.

1145754879360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 1145754879360 in words is "one trillion, one hundred forty-five billion, seven hundred fifty-four million, eight hundred seventy-nine thousand, three hundred sixty".