4672251416448 has 384 divisors, whose sum is σ = 16769542233600. Its totient is φ = 1213059133440.

The previous prime is 4672251416431. The next prime is 4672251416449. The reversal of 4672251416448 is 8446141522764.

4672251416448 is a `hidden beast` number, since 4 + 6 + 7 + 22 + 514 + 1 + 64 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 4672251416394 and 4672251416403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672251416449) 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, 238870093 + ... + 238889651.

It is an arithmetic number, because the mean of its divisors is an integer number (43670682900).

Almost surely, 2^{4672251416448} is an apocalyptic number.

4672251416448 is a gapful number since it is divisible by the number (48) 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 4672251416448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8384771116800).

4672251416448 is an abundant number, since it is smaller than the sum of its proper divisors (12097290817152).

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

4672251416448 is a wasteful number, since it uses less digits than its factorization.

4672251416448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22290 (or 22275 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 4672251416448 in words is "four trillion, six hundred seventy-two billion, two hundred fifty-one million, four hundred sixteen thousand, four hundred forty-eight".