1477901228496 has 640 divisors, whose sum is σ = 5267320012800. Its totient is φ = 345264353280.

The previous prime is 1477901228491. The next prime is 1477901228501. The reversal of 1477901228496 is 6948221097741.

It is an interprime number because it is at equal distance from previous prime (1477901228491) and next prime (1477901228501).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1477901228491) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 221272485 + ... + 221279163.

It is an arithmetic number, because the mean of its divisors is an integer number (8230187520).

Almost surely, 2^{1477901228496} is an apocalyptic number.

1477901228496 is a gapful number since it is divisible by the number (16) 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 1477901228496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633660006400).

1477901228496 is an abundant number, since it is smaller than the sum of its proper divisors (3789418784304).

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

1477901228496 is a wasteful number, since it uses less digits than its factorization.

1477901228496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6887 (or 6881 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 1477901228496 in words is "one trillion, four hundred seventy-seven billion, nine hundred one million, two hundred twenty-eight thousand, four hundred ninety-six".