1429289550864 has 640 divisors, whose sum is σ = 4907084021760. Its totient is φ = 389754892800.

The previous prime is 1429289550859. The next prime is 1429289550869. The reversal of 1429289550864 is 4680559829241.

1429289550864 is a `hidden beast` number, since 1 + 42 + 9 + 2 + 89 + 5 + 508 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1429289550859) and next prime (1429289550869).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1429289550869) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3226387027 + ... + 3226387469.

It is an arithmetic number, because the mean of its divisors is an integer number (7667318784).

Almost surely, 2^{1429289550864} is an apocalyptic number.

1429289550864 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 1429289550864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453542010880).

1429289550864 is an abundant number, since it is smaller than the sum of its proper divisors (3477794470896).

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

1429289550864 is a wasteful number, since it uses less digits than its factorization.

1429289550864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 1429289550864 in words is "one trillion, four hundred twenty-nine billion, two hundred eighty-nine million, five hundred fifty thousand, eight hundred sixty-four".