1463690428416 has 512 divisors, whose sum is σ = 4533197505600. Its totient is φ = 466291261440.

The previous prime is 1463690428411. The next prime is 1463690428481. The reversal of 1463690428416 is 6148240963641.

1463690428416 is a `hidden beast` number, since 1 + 463 + 6 + 90 + 4 + 2 + 84 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×1463690428416² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463690428411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1996848786 + ... + 1996849518.

Almost surely, 2^{1463690428416} is an apocalyptic number.

1463690428416 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 1463690428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266598752800).

1463690428416 is an abundant number, since it is smaller than the sum of its proper divisors (3069507077184).

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

1463690428416 is an frugal number, since it uses more digits than its factorization.

1463690428416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1463690428416 in words is "one trillion, four hundred sixty-three billion, six hundred ninety million, four hundred twenty-eight thousand, four hundred sixteen".