4946911377408 has 1920 divisors, whose sum is σ = 20500459499520. Its totient is φ = 1147812249600.

The previous prime is 4946911377407. The next prime is 4946911377437. The reversal of 4946911377408 is 8047731196494.

4946911377408 is a `hidden beast` number, since 4 + 9 + 4 + 6 + 91 + 137 + 7 + 408 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4946911377407) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 159577786353 + ... + 159577786383.

It is an arithmetic number, because the mean of its divisors is an integer number (10677322656).

Almost surely, 2^{4946911377408} is an apocalyptic number.

4946911377408 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 4946911377408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10250229749760).

4946911377408 is an abundant number, since it is smaller than the sum of its proper divisors (15553548122112).

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

4946911377408 is an equidigital number, since it uses as much as digits as its factorization.

4946911377408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 4946911377408 in words is "four trillion, nine hundred forty-six billion, nine hundred eleven million, three hundred seventy-seven thousand, four hundred eight".