1046345326152 has 256 divisors, whose sum is σ = 3088834560000. Its totient is φ = 295228233216.

The previous prime is 1046345326123. The next prime is 1046345326177. The reversal of 1046345326152 is 2516235436401.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237318124 + ... + 237322532.

It is an arithmetic number, because the mean of its divisors is an integer number (12065760000).

Almost surely, 2^{1046345326152} is an apocalyptic number.

1046345326152 is a gapful number since it is divisible by the number (12) 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 1046345326152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544417280000).

1046345326152 is an abundant number, since it is smaller than the sum of its proper divisors (2042489233848).

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

1046345326152 is a wasteful number, since it uses less digits than its factorization.

1046345326152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793 (or 4775 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 1046345326152 in words is "one trillion, forty-six billion, three hundred forty-five million, three hundred twenty-six thousand, one hundred fifty-two".