1141615581960 has 128 divisors (see below), whose sum is σ = 3916853740800. Its totient is φ = 260757826560.

The previous prime is 1141615581947. The next prime is 1141615581961. The reversal of 1141615581960 is 691855161411.

It is a super-2 number, since 2×1141615581960² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1141615581961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724830 + ... + 1675890.

It is an arithmetic number, because the mean of its divisors is an integer number (30600419850).

Almost surely, 2^{1141615581960} is an apocalyptic number.

1141615581960 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 1141615581960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958426870400).

1141615581960 is an abundant number, since it is smaller than the sum of its proper divisors (2775238158840).

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

1141615581960 is a wasteful number, since it uses less digits than its factorization.

1141615581960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952511 (or 952507 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 48.

The spelling of 1141615581960 in words is "one trillion, one hundred forty-one billion, six hundred fifteen million, five hundred eighty-one thousand, nine hundred sixty".