1154494064640 has 1152 divisors, whose sum is σ = 4537587600000. Its totient is φ = 249476677632.

The previous prime is 1154494064623. The next prime is 1154494064663. The reversal of 1154494064640 is 464604944511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1154494064640.

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, 2313615111 + ... + 2313615609.

It is an arithmetic number, because the mean of its divisors is an integer number (3938878125).

Almost surely, 2^{1154494064640} is an apocalyptic number.

1154494064640 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 1154494064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268793800000).

1154494064640 is an abundant number, since it is smaller than the sum of its proper divisors (3383093535360).

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

1154494064640 is a wasteful number, since it uses less digits than its factorization.

1154494064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 1154494064640 in words is "one trillion, one hundred fifty-four billion, four hundred ninety-four million, sixty-four thousand, six hundred forty".