1046345621310 has 256 divisors, whose sum is σ = 3301583846400. Its totient is φ = 232915046400.

The previous prime is 1046345621227. The next prime is 1046345621323. The reversal of 1046345621310 is 131265436401.

1046345621310 is a `hidden beast` number, since 1 + 0 + 4 + 63 + 4 + 562 + 1 + 31 + 0 = 666.

It is a super-2 number, since 2×1046345621310² (a number of 25 digits) contains 22 as substring.

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, 1817361 + ... + 2322819.

It is an arithmetic number, because the mean of its divisors is an integer number (12896811900).

Almost surely, 2^{1046345621310} is an apocalyptic number.

1046345621310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1046345621310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650791923200).

1046345621310 is an abundant number, since it is smaller than the sum of its proper divisors (2255238225090).

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

1046345621310 is a wasteful number, since it uses less digits than its factorization.

1046345621310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505544 (or 505538 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1046345621310 in words is "one trillion, forty-six billion, three hundred forty-five million, six hundred twenty-one thousand, three hundred ten".