4628900461248 has 672 divisors, whose sum is σ = 16342775665920. Its totient is φ = 1280240640000.

The previous prime is 4628900461217. The next prime is 4628900461267. The reversal of 4628900461248 is 8421640098264.

It is a happy number.

4628900461248 is a `hidden beast` number, since 4 + 62 + 89 + 0 + 0 + 461 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4628900461194 and 4628900461203.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 411415623 + ... + 411426873.

Almost surely, 2^{4628900461248} is an apocalyptic number.

4628900461248 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 4628900461248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8171387832960).

4628900461248 is an abundant number, since it is smaller than the sum of its proper divisors (11713875204672).

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

4628900461248 is a wasteful number, since it uses less digits than its factorization.

4628900461248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11442 (or 11419 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 4628900461248 in words is "four trillion, six hundred twenty-eight billion, nine hundred million, four hundred sixty-one thousand, two hundred forty-eight".