147045216864 has 384 divisors, whose sum is σ = 488454478848. Its totient is φ = 37695651840.

The previous prime is 147045216859. The next prime is 147045216949. The reversal of 147045216864 is 468612540741.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126435547 + ... + 126436709.

It is an arithmetic number, because the mean of its divisors is an integer number (1272016872).

Almost surely, 2^147045216864 is an apocalyptic number.

147045216864 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 147045216864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244227239424).

147045216864 is an abundant number, since it is smaller than the sum of its proper divisors (341409261984).

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

147045216864 is a wasteful number, since it uses less digits than its factorization.

147045216864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 147045216864 in words is "one hundred forty-seven billion, forty-five million, two hundred sixteen thousand, eight hundred sixty-four".