1151134731744 has 96 divisors (see below), whose sum is σ = 3068130600864. Its totient is φ = 377836462080.

The previous prime is 1151134731713. The next prime is 1151134731821. The reversal of 1151134731744 is 4471374311511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1151134731744² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1151134731696 and 1151134731705.

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, 4161924 + ... + 4429884.

It is an arithmetic number, because the mean of its divisors is an integer number (31959693759).

Almost surely, 2^{1151134731744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1151134731744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534065300432).

1151134731744 is an abundant number, since it is smaller than the sum of its proper divisors (1916995869120).

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

1151134731744 is a wasteful number, since it uses less digits than its factorization.

1151134731744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268660 (or 268652 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The spelling of 1151134731744 in words is "one trillion, one hundred fifty-one billion, one hundred thirty-four million, seven hundred thirty-one thousand, seven hundred forty-four".