1051119224064 has 2160 divisors, whose sum is σ = 4319915314176. Its totient is φ = 250822656000.

The previous prime is 1051119224053. The next prime is 1051119224083. The reversal of 1051119224064 is 4604229111501.

1051119224064 is a `hidden beast` number, since 10 + 51 + 1 + 192 + 2 + 406 + 4 = 666.

It is a super-2 number, since 2×1051119224064² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6961054389 + ... + 6961054539.

Almost surely, 2^{1051119224064} is an apocalyptic number.

1051119224064 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 1051119224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159957657088).

1051119224064 is an abundant number, since it is smaller than the sum of its proper divisors (3268796090112).

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

1051119224064 is a wasteful number, since it uses less digits than its factorization.

1051119224064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1051119224064 in words is "one trillion, fifty-one billion, one hundred nineteen million, two hundred twenty-four thousand, sixty-four".