1465061468052 has 192 divisors, whose sum is σ = 4457394192384. Its totient is φ = 363453143040.

The previous prime is 1465061468047. The next prime is 1465061468083. The reversal of 1465061468052 is 2508641605641.

It is a junction number, because it is equal to n+sod(n) for n = 1465061467992 and 1465061468010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33820527 + ... + 33863817.

It is an arithmetic number, because the mean of its divisors is an integer number (23215594752).

Almost surely, 2^{1465061468052} is an apocalyptic number.

1465061468052 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 1465061468052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228697096192).

1465061468052 is an abundant number, since it is smaller than the sum of its proper divisors (2992332724332).

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

1465061468052 is a wasteful number, since it uses less digits than its factorization.

1465061468052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45158 (or 45156 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 1465061468052 in words is "one trillion, four hundred sixty-five billion, sixty-one million, four hundred sixty-eight thousand, fifty-two".