1128062993904 has 480 divisors, whose sum is σ = 3965890166784. Its totient is φ = 290788600320.

The previous prime is 1128062993903. The next prime is 1128062993923. The reversal of 1128062993904 is 4093992608211.

1128062993904 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 0 + 629 + 9 + 3 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×1128062993904² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1128062993903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1243729419 + ... + 1243730325.

Almost surely, 2^{1128062993904} is an apocalyptic number.

1128062993904 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 1128062993904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982945083392).

1128062993904 is an abundant number, since it is smaller than the sum of its proper divisors (2837827172880).

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

1128062993904 is a wasteful number, since it uses less digits than its factorization.

1128062993904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1128062993904 in words is "one trillion, one hundred twenty-eight billion, sixty-two million, nine hundred ninety-three thousand, nine hundred four".