1465868420352 has 720 divisors, whose sum is σ = 5216953526400. Its totient is φ = 408994209792.

The previous prime is 1465868420351. The next prime is 1465868420381. The reversal of 1465868420352 is 2530248685641.

1465868420352 is a `hidden beast` number, since 1 + 4 + 6 + 586 + 8 + 4 + 2 + 0 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1465868420351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 305832868 + ... + 305837660.

Almost surely, 2^{1465868420352} is an apocalyptic number.

1465868420352 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 1465868420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608476763200).

1465868420352 is an abundant number, since it is smaller than the sum of its proper divisors (3751085106048).

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

1465868420352 is an frugal number, since it uses more digits than its factorization.

1465868420352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4885 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 1465868420352 in words is "one trillion, four hundred sixty-five billion, eight hundred sixty-eight million, four hundred twenty thousand, three hundred fifty-two".