1464351690816 has 385 divisors, whose sum is σ = 5064263340719. Its totient is φ = 418386197376.

The previous prime is 1464351690749. The next prime is 1464351690917. The reversal of 1464351690816 is 6180961534641.

The square root of 1464351690816 is 1210104.

It is a perfect power (a square), and thus also a powerful number.

1464351690816 is a `hidden beast` number, since 1 + 4 + 6 + 43 + 516 + 9 + 0 + 81 + 6 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 54 ways as a sum of consecutive naturals, for example, 209193098685 + ... + 209193098691.

Almost surely, 2^{1464351690816} is an apocalyptic number.

1464351690816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1464351690816 is the 1210104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1464351690816

1464351690816 is an abundant number, since it is smaller than the sum of its proper divisors (3599911649903).

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

1464351690816 is an frugal number, since it uses more digits than its factorization.

1464351690816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1464351690816 in words is "one trillion, four hundred sixty-four billion, three hundred fifty-one million, six hundred ninety thousand, eight hundred sixteen".