4946145372960 has 192 divisors, whose sum is σ = 17058119266944. Its totient is φ = 1194736435200.

The previous prime is 4946145372953. The next prime is 4946145372989. The reversal of 4946145372960 is 692735416494.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4946145372894 and 4946145372903.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228361 + ... + 3153480.

It is an arithmetic number, because the mean of its divisors is an integer number (88844371182).

Almost surely, 2^{4946145372960} is an apocalyptic number.

4946145372960 is a gapful number since it is divisible by the number (40) 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 4946145372960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8529059633472).

4946145372960 is an abundant number, since it is smaller than the sum of its proper divisors (12111973893984).

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

4946145372960 is a wasteful number, since it uses less digits than its factorization.

4946145372960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382147 (or 3382139 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 4946145372960 in words is "four trillion, nine hundred forty-six billion, one hundred forty-five million, three hundred seventy-two thousand, nine hundred sixty".