1121737546728 has 128 divisors (see below), whose sum is σ = 3207873456000. Its totient is φ = 367574677056.

The previous prime is 1121737546717. The next prime is 1121737546733. The reversal of 1121737546728 is 8276457371211.

1121737546728 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 73 + 7 + 546 + 7 + 28 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488926 + ... + 1575602.

It is an arithmetic number, because the mean of its divisors is an integer number (25061511375).

Almost surely, 2^{1121737546728} is an apocalyptic number.

1121737546728 is a gapful number since it is divisible by the number (18) 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 1121737546728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603936728000).

1121737546728 is an abundant number, since it is smaller than the sum of its proper divisors (2086135909272).

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

1121737546728 is an equidigital number, since it uses as much as digits as its factorization.

1121737546728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086763 (or 1086741 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 1121737546728 in words is "one trillion, one hundred twenty-one billion, seven hundred thirty-seven million, five hundred forty-six thousand, seven hundred twenty-eight".