1051348684000 has 96 divisors (see below), whose sum is σ = 2594545533216. Its totient is φ = 418686515200.

The previous prime is 1051348683971. The next prime is 1051348684007. The reversal of 1051348684000 is 4868431501.

It is a super-2 number, since 2×1051348684000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051348684007) 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 15 ways as a sum of consecutive naturals, for example, 329064 + ... + 1486936.

It is an arithmetic number, because the mean of its divisors is an integer number (27026515971).

Almost surely, 2^{1051348684000} is an apocalyptic number.

1051348684000 is a gapful number since it is divisible by the number (10) 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 1051348684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297272766608).

1051348684000 is an abundant number, since it is smaller than the sum of its proper divisors (1543196849216).

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

1051348684000 is a wasteful number, since it uses less digits than its factorization.

1051348684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158125 (or 1158107 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 1051348684000 in words is "one trillion, fifty-one billion, three hundred forty-eight million, six hundred eighty-four thousand".