1011185567232 has 160 divisors (see below), whose sum is σ = 2759166461568. Its totient is φ = 328905916416.

The previous prime is 1011185567219. The next prime is 1011185567257. The reversal of 1011185567232 is 2327655811101.

1011185567232 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1011185567232³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74165088 + ... + 74178720.

Almost surely, 2^{1011185567232} is an apocalyptic number.

1011185567232 is a gapful number since it is divisible by the number (12) 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 1011185567232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379583230784).

1011185567232 is an abundant number, since it is smaller than the sum of its proper divisors (1747980894336).

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

1011185567232 is a wasteful number, since it uses less digits than its factorization.

1011185567232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14820 (or 14804 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 1011185567232 in words is "one trillion, eleven billion, one hundred eighty-five million, five hundred sixty-seven thousand, two hundred thirty-two".