1459468367820 has 144 divisors (see below), whose sum is σ = 4714565899680. Its totient is φ = 364180482048.

The previous prime is 1459468367809. The next prime is 1459468367827. The reversal of 1459468367820 is 287638649541.

1459468367820 is a `hidden beast` number, since 1 + 4 + 59 + 468 + 36 + 78 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (1459468367827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 849090 + ... + 1907849.

It is an arithmetic number, because the mean of its divisors is an integer number (32740040970).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1459468367820 = 2918936735640, but 3⋅1459468367820 = 4378405103460 is not.

Almost surely, 2^{1459468367820} is an apocalyptic number.

1459468367820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1459468367820 is an abundant number, since it is smaller than the sum of its proper divisors (3255097531860).

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

1459468367820 is a wasteful number, since it uses less digits than its factorization.

1459468367820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757144 (or 2757139 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 1459468367820 in words is "one trillion, four hundred fifty-nine billion, four hundred sixty-eight million, three hundred sixty-seven thousand, eight hundred twenty".