1649147904000 has 704 divisors, whose sum is σ = 6124353468480. Its totient is φ = 437885337600.

The previous prime is 1649147903993. The next prime is 1649147904023. The reversal of 1649147904000 is 4097419461.

1649147904000 is a `hidden beast` number, since 16 + 4 + 9 + 147 + 90 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 7077887884 + ... + 7077888116.

Almost surely, 2^{1649147904000} is an apocalyptic number.

1649147904000 is a gapful number since it is divisible by the number (10) 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 1649147904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062176734240).

1649147904000 is an abundant number, since it is smaller than the sum of its proper divisors (4475205564480).

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

1649147904000 is an frugal number, since it uses more digits than its factorization.

1649147904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1649147904000 in words is "one trillion, six hundred forty-nine billion, one hundred forty-seven million, nine hundred four thousand".