1046200234464 has 384 divisors, whose sum is σ = 3809001369600. Its totient is φ = 271409149440.

The previous prime is 1046200234441. The next prime is 1046200234483. The reversal of 1046200234464 is 4644320026401.

1046200234464 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 200 + 2 + 3 + 446 + 4 = 666.

1046200234464 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 57138399 + ... + 57156705.

It is an arithmetic number, because the mean of its divisors is an integer number (9919274400).

Almost surely, 2^{1046200234464} is an apocalyptic number.

1046200234464 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 1046200234464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904500684800).

1046200234464 is an abundant number, since it is smaller than the sum of its proper divisors (2762801135136).

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

1046200234464 is a wasteful number, since it uses less digits than its factorization.

1046200234464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19203 (or 19189 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 1046200234464 in words is "one trillion, forty-six billion, two hundred million, two hundred thirty-four thousand, four hundred sixty-four".