67048145472 has 224 divisors, whose sum is σ = 221451586560. Its totient is φ = 17393080320.

The previous prime is 67048145453. The next prime is 67048145477. The reversal of 67048145472 is 27454184076.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×67048145472² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (67048145477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13998054 + ... + 14002842.

Almost surely, 2^67048145472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67048145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110725793280).

67048145472 is an abundant number, since it is smaller than the sum of its proper divisors (154403441088).

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

67048145472 is a wasteful number, since it uses less digits than its factorization.

67048145472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5769 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 67048145472 in words is "sixty-seven billion, forty-eight million, one hundred forty-five thousand, four hundred seventy-two".