145616486400 has 2160 divisors, whose sum is σ = 709906229760. Its totient is φ = 28665446400.

The previous prime is 145616486369. The next prime is 145616486423. The reversal of 145616486400 is 4684616541.

145616486400 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 164 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×145616486400² (a number of 23 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 7664025591 + ... + 7664025609.

Almost surely, 2^145616486400 is an apocalyptic number.

145616486400 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 145616486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354953114880).

145616486400 is an abundant number, since it is smaller than the sum of its proper divisors (564289743360).

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

145616486400 is an equidigital number, since it uses as much as digits as its factorization.

145616486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

It can be divided in two parts, 1456164 and 86400, that added together give a square (1542564 = 1242²).

The spelling of 145616486400 in words is "one hundred forty-five billion, six hundred sixteen million, four hundred eighty-six thousand, four hundred".