1011774988224 has 896 divisors, whose sum is σ = 4101837465600. Its totient is φ = 236012175360.

The previous prime is 1011774988153. The next prime is 1011774988303. The reversal of 1011774988224 is 4228894771101.

1011774988224 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 77 + 498 + 82 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63992032 + ... + 64007840.

It is an arithmetic number, because the mean of its divisors is an integer number (4577943600).

Almost surely, 2^{1011774988224} is an apocalyptic number.

1011774988224 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 1011774988224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050918732800).

1011774988224 is an abundant number, since it is smaller than the sum of its proper divisors (3090062477376).

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

1011774988224 is a wasteful number, since it uses less digits than its factorization.

1011774988224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15898 (or 15882 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 1011774988224 in words is "one trillion, eleven billion, seven hundred seventy-four million, nine hundred eighty-eight thousand, two hundred twenty-four".