1152199067964 has 96 divisors (see below), whose sum is σ = 3103927120896. Its totient is φ = 325837900800.

The previous prime is 1152199067963. The next prime is 1152199067969. The reversal of 1152199067964 is 4697609912511.

It is a super-2 number, since 2×1152199067964² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1152199067898 and 1152199067907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152199067963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29360484 + ... + 29399700.

It is an arithmetic number, because the mean of its divisors is an integer number (32332574176).

Almost surely, 2^{1152199067964} is an apocalyptic number.

1152199067964 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 1152199067964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551963560448).

1152199067964 is an abundant number, since it is smaller than the sum of its proper divisors (1951728052932).

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

1152199067964 is a wasteful number, since it uses less digits than its factorization.

1152199067964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42795 (or 42793 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 60.

The spelling of 1152199067964 in words is "one trillion, one hundred fifty-two billion, one hundred ninety-nine million, sixty-seven thousand, nine hundred sixty-four".