1121761284048 has 80 divisors (see below), whose sum is σ = 3236728550400. Its totient is φ = 371962702080.

The previous prime is 1121761284041. The next prime is 1121761284073. The reversal of 1121761284048 is 8404821671211.

1121761284048 is a `hidden beast` number, since 1 + 1 + 21 + 7 + 612 + 8 + 4 + 0 + 4 + 8 = 666.

It is a super-3 number, since 3×1121761284048³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1121761283994 and 1121761284012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121761284041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6715053 + ... + 6880076.

It is an arithmetic number, because the mean of its divisors is an integer number (40459106880).

Almost surely, 2^{1121761284048} is an apocalyptic number.

1121761284048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1121761284048 is an abundant number, since it is smaller than the sum of its proper divisors (2114967266352).

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

1121761284048 is a wasteful number, since it uses less digits than its factorization.

1121761284048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13595337 (or 13595325 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 1121761284048 in words is "one trillion, one hundred twenty-one billion, seven hundred sixty-one million, two hundred eighty-four thousand, forty-eight".