1149001540764 has 288 divisors, whose sum is σ = 3445605983232. Its totient is φ = 294658560000.

The previous prime is 1149001540747. The next prime is 1149001540781. The reversal of 1149001540764 is 4670451009411.

It is an interprime number because it is at equal distance from previous prime (1149001540747) and next prime (1149001540781).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198066664 + ... + 198072464.

It is an arithmetic number, because the mean of its divisors is an integer number (11963909664).

Almost surely, 2^{1149001540764} is an apocalyptic number.

1149001540764 is a gapful number since it is divisible by the number (14) 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 1149001540764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722802991616).

1149001540764 is an abundant number, since it is smaller than the sum of its proper divisors (2296604442468).

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

1149001540764 is a wasteful number, since it uses less digits than its factorization.

1149001540764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6217 (or 6208 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 1149001540764 in words is "one trillion, one hundred forty-nine billion, one million, five hundred forty thousand, seven hundred sixty-four".